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Question

Simplify each expression. (3t25)2\left(\dfrac{3t^2}{5}\right)^2

Solution

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In raising a product to a power, raise each factor to the power, as in:

(5a)2=52a2(5a)^2 = 5^2a^2

In raising a power to a power, multiply the exponents, as in:

(am)n=amn(a^m)^n = a^{m \cdot n}

In raising a quotient to a power, raise both the numerator and the denominator to the power, as in:

(ab)2=a2b2(\dfrac{ a }{ b })^2 = \dfrac{ a^2 }{ b^2 }

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