Question

Which expression is equivalent to 7 to the 3 power × 7 to the −5 power

Answer 1

Answer:

C: 1 over 7 to the 2nd power

Step-by-step explanation:

The question is: $7^{3} \times 7^{-5}$

When multiplying exponents, the base stays the same, while the power is added. In this question, the powers are 3 and -5.

$3+-5=-2$

The exponent will become: $7^{-2}$

Since the power is negative, it is improper. The negative can be removed by moving the power down and making it a fraction over 1.

$7^{-2} \rightarrow \frac{1}{7^{2} }$

The answer is $\frac{1}{7^{2}}$, also written as "1 over 7 to the 2nd power".