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Popular >

simplify (3t^2)^2

Solution

simplify

(3 t^{2})^{2}

Solution

9 t^{4}

Solution steps

(3 t^{2})^{2}

Apply exponent rule:

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

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

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

3^{2} = 9

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 9 t^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 9 t^{4}

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Frequently Asked Questions (FAQ)

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