Question

Can someone help me with #4? Please explain what you did

Answer 1

B
8. ^4 sq rt 8x^3 is the answer

Answer 2

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}\\\\ -----------------------------\\\\ (32x)^{(3)/(4)}\qquad 32=2^5\implies (2^5x)^{(3)/(4)}\implies \sqrt[4]{(2^5x)^3}\implies \sqrt[4]{2^(5\cdot 3)x^(1\cdot 3)} \\\\\\ \sqrt[4]{2^(15)x^3}\implies \sqrt[4]{2^(12+3)x^3}\implies \sqrt[4]{2^(12)2^3x^3}\implies \sqrt[4]{(2^3)^42^3x^3} \\\\\\ 2^3\sqrt[4]{2^3x^3}\implies 8\sqrt[4]{8x^3}`