Question

Which can be used to describe an equivalent expression for (s^6)^−3?

a. s^-18
b. 1/s^3
c. s^-6/s^3
d. 1/s^9

Answer 1

To find the equivalent expression for (s^6)^-3, you multiply the exponents, leading to s^(6 × -3) = s^-18, which is the same as 1/s^18.

Step-by-step explanation:

To find an equivalent expression for (s^6)^-3, we use the exponent rule, which states that when we raise a power to a power, we multiply the exponents. Applying this rule, we multiply the exponents 6 and -3:

(s^6)^-3 = s^(6 × -3) = s^-18

Therefore, the equivalent expression is s^-18, which can also be written as 1/s^18 using the negative exponent rule that states a^-n = 1/a^n.

In this case, the expression can be rewritten as s^(6*-3). This simplifies to s^-18.

Therefore, the answer is a. s^-18.