Use the Product Rule of Exponents to simplify 510⋅55(1 point)
Responses
5^50
5 superscript 50 baseline
25^15
25 superscript 15 baseline
5^15
5 superscript 15 baseline
25^50
25 superscript 50 baseline
Use the Product Rule of Exponents to simplify 5^10⋅5^5(1 point)
Responses
5^50
5 superscript 50 baseline
25^15
25 superscript 15 baseline
5^15
5 superscript 15 baseline
25^50
5 superscript 15 baseline
What is the missing exponent in the following equation?
h^450/h^? = h^215(1 point)
The missing exponent in the equation is 235.
Simplify 12^87÷12^25.
To simplify this expression, you can use the Quotient Rule of Exponents. According to the Quotient Rule, when dividing powers with the same base, you subtract the exponents.
So, 12^87 ÷ 12^25 = 12^(87 - 25) = 12^62.
Therefore, the simplified form is 12^62.
What is the value of 6.9−2^0?(1 point)
Responses
5.9
5.9
4.9
4.9
7.9
7.9
6.9
The value of 6.9 - 2^0 is 6.9 - 1 = 5.9
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270).(2 points)
9⋅(−33)^0+3/2(8−27^0) = __ ⋅ __ +3/2( __ – __ )
Applying the Zero Power Rule, any non-zero base raised to the power of zero is equal to 1.
So, 9 ⋅ (-33)^0 + 3/2(8 − 27^0) is equivalent to 9 ⋅ 1 + 3/2(8 − 1).
Simplifying further, we have 9 + 3/2(7).
Therefore, the equivalent expression is 9 + 3/2(7).
fill in the blanks.
9 + 3/2(7) = 9 + 3/2 * 7 = 9 + (21/2) = 9 + 10.5 = 19.5
the question that I GAVE YOU. FILL IN THE BLANK. THE BLANKS ARE ___
Apologies for the misunderstanding. Here is the filled-in expression:
9 ⋅ (−33)^0 + 3/2(8 − 27^0) = 9 ⋅ 1 + 3/2(8 − 1) = 9 + 3/2(7) = 9 + 10.5 = 19.5
Solve the expression 15⋅805+4(70−6).(1 point)
15⋅8^0/5+4(7^0−6)= __
To solve the expression, we first simplify the exponential terms using the Zero Power Rule:
15⋅8^0/5 + 4(7^0−6) = 15⋅1/5 + 4(1−6)
Next, we simplify the multiplications and subtraction inside the brackets:
= 15/5 + 4(-5)
= 3 + (-20)
Finally, we add the numbers:
= 3 - 20
= -17
Therefore, the value of the expression is -17.