Question

follow the instructions below.
write (left(x^{2}
ight)^{3}) without exponents.
(left(x^{2}
ight)^{3} = square)
fill in the blank.
(left(x^{2}
ight)^{3} = x^{square})

Explanation:

Step1: Apply exponent power rule

For exponents, the rule is $(x^a)^b = x^{a \times b}$. For the first part, $(x^7)^9$:
$\boldsymbol{(x^7)^9 = x^{7 \times 9}}$

Step2: Calculate the product of exponents

$7 \times 9 = 63$, so:
$\boldsymbol{(x^7)^9 = x^{63}}$

Step3: Apply rule to the second part

For $(x^2)^5$, use the same rule:
$\boldsymbol{(x^2)^5 = x^{2 \times 5}}$

Step4: Calculate the product

$2 \times 5 = 10$, so:
$\boldsymbol{(x^2)^5 = x^{10}}$

Answer:

$(x^7)^9 = x^{63}$
$(x^2)^5 = x^{10}$