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Popular >

simplify (3x^2)^2

Solution

simplify

(3 x^{2})^{2}

Solution

9 x^{4}

Solution steps

(3 x^{2})^{2}

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{2})^{2} = x^{2 \cdot 2}

= 9 x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 9 x^{4}

Popular Examples

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3 x^{2} - x - 24

(x+1)2-9(x+1)+20=0

(x + 1) 2 - 9 (x + 1) + 20 = 0

simplify (4/5)^{-2}simplify

(\frac{4}{5})^{- 2}

3 x + 7 = 28

Frequently Asked Questions (FAQ)

What is (3x^2)^2 ?
The solution to (3x^2)^2 is 9x^4