Pre-Algebra Examples

${(7^{3 - a})}^{7 b}$

Step 1

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

$7^{(3 - a) (7 b)}$

Step 2

Apply the distributive property.

$7^{3 (7 b) - a (7 b)}$

Step 3

Multiply $7$ by $3$ .

$7^{21 b - a (7 b)}$

Step 4

Rewrite using the commutative property of multiplication.

$7^{21 b - 1 \cdot 7 a b}$

Step 5

Multiply $- 1$ by $7$ .

$7^{21 b - 7 a b}$