use the product rule of exponents to simplify 5^10*5^5 (1 point) 5^50 5^15 25^15 25^50
To simplify the expression using the product rule of exponents, you need to add the exponents when you multiply two powers of the same base.
Using the product rule of exponents, 5^10 * 5^5 equals 5^(10 + 5) which simplifies to 5^15.
Therefore, the simplified expression is 5^15.
what is the missing exponent in the following equation
h^450/h^? = h^215
To find the missing exponent, you can use the quotient rule of exponents. According to this rule, when dividing two powers with the same base, you need to subtract the exponent in the denominator from the exponent in the numerator.
So, in the equation h^450 / h^? = h^215, the missing exponent can be found by subtracting the exponent in the denominator (h^?) from the exponent in the numerator (h^450).
Therefore, h^450 / h^? = h^(450 - ?) = h^215.
To proceed further, it is necessary to set the exponents equal to each other:
450 - ? = 215.
By rearranging this equation, you can isolate the missing exponent:
? = 450 - 215 = 235.
So, the missing exponent in the equation h^450 / h^? = h^215 is 235.
simplify 12^87 divided 12^25
To simplify the expression 12^87 / 12^25, you can use the quotient rule of exponents. According to this rule, when dividing two powers with the same base, you need to subtract the exponent in the denominator from the exponent in the numerator.
So, 12^87 / 12^25 can be simplified as:
12^(87-25) = 12^62
Therefore, the simplified expression is 12^62.
what is the value of 6.9-2^0?
5.9
7.9
4.9
6.9
To evaluate 6.9 - 2^0, we need to first find the value of 2^0. Any number raised to the power of 0 is equal to 1. Therefore, 2^0 = 1.
Now, we can substitute this value into the expression:
6.9 - 2^0 = 6.9 - 1 = 5.9
So, the value of 6.9 - 2^0 is 5.9.