Question

PLEASE help

Answer 1

Answer:

$\left(\dfrac{3}{4}\right)^{14}$

Step-by-step explanation:

Given expression:

$\left(\left(\dfrac{3}{4}\right)^4 \times \left(\dfrac{3}{4}\right)^3\right)^2$

$\textsf{Apply the product rule of exponents} \quad a^b \cdot a^c=a^{b+c}:$

$\implies \left(\left(\dfrac{3}{4}\right)^{4+3}\right)^2$

$\implies \left(\left(\dfrac{3}{4}\right)^{7}\right)^2$

$\textsf{Apply the power of a power rule of exponents} \quad (a^b)^c=a^{bc}:$

$\implies \left(\dfrac{3}{4}\right)^{7\times 2}$

$\implies \left(\dfrac{3}{4}\right)^{14}$

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