Simplify the following expression (5 {}^(7)) {}^(2) (5 {}^( - 2)) {}^(6) A. 5 {}^( - 168) B. 5 {}^(2) C. 5 {}^(1) D. 5 {}^(37) ​

Question

Simplify the following expression


`(5 {}^(7)) {}^(2) (5 {}^( - 2)) {}^(6)`




A.

`5 {}^( - 168)`
B.

`5 {}^(2)`
C.

`5 {}^(1)`
D.

`5 {}^(37)`
​

Answer 1

B. 5^2

Explanation:

When an exponent has an exponent, they are multiplied. The negative exponents go to the denominator. 5^14/5^-12 Since the terms are divided the exponents are subtracted. 5^2