simplify (3b^3)^2 — step-by-step solution

Let's simplify:

{(3 b^{3})}^{2}

ⓘ The power of a product is the product of the powers:

{(3 b^{3})}^{2}

3^{2} \cdot {(b^{3})}^{2}

3^{2} \cdot {(b^{3})}^{2}

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

3^{2}

3 \cdot 3

9

■A power of a power multiplies the exponents, (a^n)^m = a^(n*m):

{(b^{3})}^{2}

b^{3 \cdot 2}

9 b^{3 \cdot 2}

ⅰ

3 \cdot 2

6

▶Simplified form:

9 b^{6}