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$4^{3x} \times 4^6 = 1$

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Simplify radical expressions involving fractions

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Q.

4^{3x} \times 4^6 = 1

Combine Powers of $4$ : Combine the powers of $4$ using the property of exponents: $4^{a+b} = 4^a \times 4^b$ . $\newline$ Calculation: $4^{3x + 6} = 1$
Recognize Zero Power Rule: Recognize that any non-zero number raised to the power of $0$ is $1$ . $\newline$ Calculation: $3x + 6 = 0$
Solve for x: Solve for x by isolating x. $\newline$ Calculation: $3x = -6$ $\newline$ $x = -6 / 3$ $\newline$ $x = -2$

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