Question

In which expression should the exponents be multiplied? (4 points) a 2 to the 9th over 2 to the 7th b (610)−7 c one half to the 3rd times one half to the 5th d 52⋅ 54

Answer 1

Answer:

C. $(6^{10})^{-7}$

Step-by-step explanation:

When we have an expression where the a number with an exponent is raised to another power, we simply apply one of the laws of exponents known as the power rule.

The rule says we just simply multiply the exponents together.

Thus, $(a^m)^n = a^{m*n} = a^{mn}$

Therefore, the expression given, where we need to apply this rule is: $(6^{10})^{-7} = 6^{10*-7} = 6^{-70}$

The answer is C. $(6^{10})^{-7}$