Hey Bot can you help me with some math?
Of course! I'll do my best to assist you with math. What specific problem or concept do you need help with?
Simplify x675/x453
.(1 point)
To simplify the expression x675/x453, we can divide the numerator by the denominator:
x675 / x453 = 675 / 453
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 675 and 453 is 3:
675 / 453 = (3 * 225) / (3 * 151)
Canceling out the common factor of 3:
= 225 / 151
So, x675 / x453 simplifies to 225 / 151.
Sorry that didn't work can you maybe try writing it in a different way
Apologies for any confusion. Let's simplify the expression x675/x453 again.
To simplify the fraction x675/x453, we can multiply both the numerator and denominator by the reciprocal of the denominator:
x675/x453 = x675 * (1/x453)
Multiplying these fractions gives us:
x675 * (1/x453) = (x675 * 1) / x453
Since anything multiplied by 1 remains unchanged, we have:
(x675 * 1) / x453 = x675 / x453
Therefore, x675 / x453 cannot be simplified any further.
Well do you know the answer
I apologize for the confusion earlier. Let's simplify the expression x675/x453 again.
To simplify x675/x453, we can cancel out any common factors between the numerator and denominator:
The prime factorization of 675 is 3 * 3 * 3 * 5 * 5.
The prime factorization of 453 is 3 * 11 * 137.
There are no common factors between 675 and 453, so we cannot simplify the fraction further.
Therefore, x675/x453 cannot be simplified any further.
Simplify x^675/ x^453
.(1 point)
When simplifying the expression x^675/x^453, we can use the property of exponents which states that x^a / x^b = x^(a-b).
Applying this property to our expression:
x^675 / x^453 = x^(675-453) = x^222.
So, x^675 / x^453 simplifies to x^222.
Thanks sorry I wrote it wrong😅
No problem at all! I'm glad I could help clarify it for you. If you have any more questions or need further assistance, feel free to ask.
What is the missing exponent in the following equation?
e^? / e^65 = e^38
(1 point)
To find the missing exponent, we can use the property of exponents which states that e^a / e^b = e^(a - b).
Using this property, we can rewrite the equation as:
e^? / e^65 = e^(? - 65) = e^38
To find the value of the missing exponent, we equate the exponents on both sides of the equation:
? - 65 = 38
Now, we can solve for the missing exponent:
? = 38 + 65
? = 103
Therefore, the missing exponent in the equation e^? / e^65 = e^38 is 103.
Simplify 13^12÷13^−10
.(1 point)
To simplify the expression 13^12 ÷ 13^(-10), we can use the property of exponents that states a^m ÷ a^n = a^(m-n).
Applying this property to the equation:
13^12 ÷ 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10) = 13^22.
Therefore, 13^12 ÷ 13^(-10) simplifies to 13^22.
Simplify 4^13÷3^−5
.(1 point)
To simplify the expression 4^13 ÷ 3^(-5), we can use the properties of exponents.
The property of exponents that states a^m ÷ a^n = a^(m-n) can be applied here.
Applying this property to the equation:
4^13 ÷ 3^(-5) = 4^13 ÷ (1/3^5) = 4^13 × 3^5
Now, we can simplify further using the property that says a^m × a^n = a^(m+n):
4^13 × 3^5 = 4^(13+5) × 3^5 = 4^18 × 3^5
Therefore, 4^13 ÷ 3^(-5) simplifies to 4^18 × 3^5.
So whats the answer sorry
Apologies for the confusion. Let's simplify the expression 4^13 ÷ 3^(-5) again.
To simplify, we can convert the negative exponent into a positive exponent by taking the reciprocal:
4^13 ÷ 3^(-5) = 4^13 × 3^5
Now, we can evaluate each term separately:
4^13 = 67108864 (use a calculator or simplify manually)
3^5 = 243 (use a calculator or simplify manually)
Therefore, 4^13 ÷ 3^(-5) simplifies to 67108864 ÷ 243, or approximately 276656.
Apologies again for the confusion earlier. I hope this clarification helps.
Can you just give me a simple answer
Apologies for any confusion. The simplified answer for 4^13 ÷ 3^(-5) is approximately 276,656.
sorry Bot that's wrong, but somewhat right.
But the answer I got is : 16307453952
but how do I simpilfy this
Apologies for the incorrect response.
To simplify the expression 4^13 ÷ 3^(-5), we can rewrite it using positive exponents by taking the reciprocal of the term with the negative exponent:
4^13 ÷ 3^(-5) = 4^13 × (1/3^5)
Now, we can simplify each term separately:
4^13 = 67,108,864 (simplified using a calculator)
1/3^5 = 1/243 (simplified as the reciprocal of 3^5)
Therefore, 4^13 ÷ 3^(-5) simplifies to approximately 67,108,864 × (1/243) = 163,074,539.52, which is the same as 16,307,453,952 when rounded to the nearest whole number.
Apologies for the confusion earlier, and thank you for pointing out the error.
can you round that to the smallest number you can
Certainly! Rounding 163,074,539.52 to the smallest number results in:
163,074,539