Question

1. write the expression equivalent to

$(x^{40})(x^{4})^{2}$

Explanation:

Step1: Simplify the power of a power

Use exponent rule $(a^m)^n=a^{m \times n}$:
$(x^4)^2 = x^{4 \times 2} = x^8$

Step2: Multiply the like terms

Use exponent rule $a^m \times a^n=a^{m+n}$:
$x^{40} \times x^8 = x^{40+8}$

Answer:

$x^{48}$