Question

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

Solution

VerifiedStep 1

1 of 3In raising a product to a power, raise each factor to the power, as in:

$(5a)^2 = 5^2a^2$

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

$(a^m)^n = a^{m \cdot n}$

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

$(\dfrac{ a }{ b })^2 = \dfrac{ a^2 }{ b^2 }$

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