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7(g^(3))^(4)

$7\left(g^{3}\right)^{4}$

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Evaluate rational exponents

Full solution

Q.

7\left(g^{3}\right)^{4}

Identify base and exponent: Identify the base and the exponent in the expression $7(g^{3})^{4}$ . $\newline$ Base: $g$ $\newline$ Exponent: $3$ and $4$
Apply power of a power rule: Use the power of a power rule: $(g^{3})^{4} = g^{3\times4}$ . $\newline$ Calculate the new exponent: $3\times4 = 12$ .
Substitute simplified exponent: Substitute the simplified exponent back into the expression: $7(g^{12})$ . $\newline$ No calculation needed.
Multiply coefficient and base: Multiply the coefficient $7$ by the base $g$ raised to the power of $12$ : $7 \times g^{12}$ . $\newline$ No calculation needed.

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