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Popular >

simplify (3^x)^3

Solution

simplify

(3^{x})^{3}

Solution

2 7^{x}

Solution steps

(3^{x})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{x \cdot 3}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

3^{3 x} = (3^{3})^{x}

= (3^{3})^{x}

3^{3} = 27

= 2 7^{x}

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Frequently Asked Questions (FAQ)

What is (3^x)^3 ?
The solution to (3^x)^3 is 27^x