Question

exponent rules (variable and coefficients)
score: 0/5 penalty: 1 off
question
simplify:
$(4p^{2})^{3}$

Explanation:

Step1: Apply power - of - a - product rule

$(4p^{2})^{3}=4^{3}\times(p^{2})^{3}$

Step2: Calculate $4^{3}$

$4^{3}=4\times4\times4 = 64$

Step3: Apply power - of - a - power rule to $(p^{2})^{3}$

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

Step4: Combine results

$4^{3}\times(p^{2})^{3}=64p^{6}$

Answer:

$64p^{6}$