Question

Which expression is equivalent to 5^-6 • 5^-1?
A. 1/5^7
B. 1/5^5
C. 5^7
D. 1/5^8

Answer 1

Which expression is equivalent to 5^-7/5^-7?
A. 1
B. 1/5
C. 0
D. 5^14

Answer 2

Which expression is equivalent to 6^-5 x 6-5?
A. 6^-10
B. 1
C. 6^-11
D. 6^25

Answer 3

Which expression is equivalent to (2^-2)^-1?
A. 1/4
B. 4
C. 16
D. 2

Answer 4

To find the expression equivalent to 5^-6 • 5^-1, we can simplify by adding the exponents since the base is the same.

When we multiply two numbers with the same base, we add the exponents. So, 5^-6 • 5^-1 is equal to 5^(-6+(-1)) = 5^-7.

Therefore, the expression equivalent to 5^-6 • 5^-1 is 5^-7.

Answer: A. 1/5^7

Answer 5

To find the expression equivalent to 5^-7/5^-7, we can simplify by subtracting the exponents since the base is the same.

When we divide two numbers with the same base, we subtract the exponents. So, 5^-7/5^-7 is equal to 5^(-7-(-7)) = 5^0.

Any number raised to the power of 0 is equal to 1. Therefore, the expression equivalent to 5^-7/5^-7 is 1.

Answer: A. 1

Answer 6

To find the expression equivalent to 6^-5 x 6^-5, we can simplify by adding the exponents since the base is the same.

When we multiply two numbers with the same base, we add the exponents. So, 6^-5 x 6^-5 is equal to 6^(-5+(-5)) = 6^-10.

Therefore, the expression equivalent to 6^-5 x 6^-5 is 6^-10.

Answer: A. 6^-10

Answer 7

To find the expression equivalent to (2^-2)^-1, we can simplify inside the parentheses first.

When we raise a number to a negative exponent and then raise it to another negative exponent, it is equivalent to raising the number to the product of the two exponents as positive.

So, (2^-2)^-1 is equal to 2^((-2)(-1)) = 2^2.

Therefore, the expression equivalent to (2^-2)^-1 is 2^2, which is equal to 4.

Answer: B. 4