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Popular >

simplify (3b^3)^2

Solution

simplify

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

Solution

9 b^{6}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

3^{2} = 9

= 9 (b^{3})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

= 9 b^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 9 b^{6}

Popular Examples

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\frac{2}{9}

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7(x-4)^2-3(x+5)^2=4(x+1)-2

7 (x - 4)^{2} - 3 (x + 5)^{2} = 4 (x + 1) - 2

simplify sqrt(41)simplify

41

Frequently Asked Questions (FAQ)

What is (3b^3)^2 ?
The solution to (3b^3)^2 is 9b^6