Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. $(-4x^2)^3$ rewrite the expression using r 7. $-sqrt5{22}$

Question

  1. $(-4x^2)^3$

rewrite the expression using r

  1. $-sqrt5{22}$

Explanation:

Step1: Apply power to constant term

$(-4)^3 = -64$

Step2: Apply power to variable term

$(x^2)^3 = x^{2\times3}=x^6$

Step3: Multiply the two results

$-64 \times x^6$

Step4: Rewrite root as rational exponent

$-\sqrt[5]{22} = -22^{\frac{1}{5}}$

Answer:

  1. $-64x^6$
  2. $-22^{\frac{1}{5}}$