Apply the product rule for exponents, if possible.
-$\mathrm{g}^{10} \cdot \mathrm{h}^{8}$

A) The product rule does not apply.
B) $\mathrm{gh}^{18}$
C) $\mathrm{g}^{80} \mathrm{~h}$
D) $\mathrm{gh}^{2}$

Question

Apply the product rule for exponents, if possible.
-$\mathrm{g}^{10} \cdot \mathrm{h}^{8}$

A) The product rule does not apply.
B) $\mathrm{gh}^{18}$
C) $\mathrm{g}^{80} \mathrm{~h}$
D) $\mathrm{gh}^{2}$

Quizplus · Accepted Answer

The product rule for exponents applies when multiplying two powers that have the same base, not when the bases are different as in this case with g and h.

Apply the Product Rule for Exponents, If Possible g10⋅h8\mathrm{g}^{10} \cdot \mathrm{h}^{8}g10⋅h8

Apply the Product Rule for Exponents, If Possible $\mathrm{g}^{10} \cdot \mathrm{h}^{8}$