Evaluate (5e^(7x))^4

${(5 e^{7 x})}^{4}$

Step 1

Apply the product rule to $5 e^{7 x}$ .

$5^{4} {(e^{7 x})}^{4}$

Step 2

Raise $5$ to the power of $4$ .

$625 {(e^{7 x})}^{4}$

Step 3

Multiply the exponents in ${(e^{7 x})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$625 e^{7 x \cdot 4}$

Multiply $4$ by $7$ .

$625 e^{28 x}$