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Popular >

simplify 4^x-4^{x-1}

Solution

simplify

4^{x} - 4^{x - 1}

Solution

3 \cdot 4^{x - 1}

Solution steps

4^{x} - 4^{x - 1}

4^{x} = 4^{x - 1 + 1}

= 4^{x - 1 + 1} - 4^{x - 1}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

4^{x - 1 + 1} = 4^{1} \cdot 4^{x - 1}

= 4^{1} \cdot 4^{x - 1} - 4^{x - 1}

Factor out common term

4^{x - 1}

= 4^{x - 1} (4^{1} - 1)

Refine

= 3 \cdot 4^{x - 1}

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Frequently Asked Questions (FAQ)

What is 4^x-4^{x-1} ?
The solution to 4^x-4^{x-1} is 3*4^{x-1}