Question
Use the power of a product rule for exponents to simplify each expression.$$\left(2 x^{7}\right)^{3}\left(4 x^{8}\right)^{2}$$
Step 1
The power of a product rule states that $(ab)^n = a^n b^n$. So, we have: $$(2x^7)^3 = 2^3 \cdot (x^7)^3 = 8x^{21}$$ $$(4x^8)^2 = 4^2 \cdot (x^8)^2 = 16x^{16}$$ Show more…
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