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Popular >

simplify 4^{x+1}*2^{2x}

Solution

simplify

4^{x + 1} \cdot 2^{2 x}

Solution

2^{4 x + 2}

Solution steps

4^{x + 1} \cdot 2^{2 x}

Simplify

4^{x + 1} : 2^{2 (x + 1)}

= 2^{2 (x + 1)} \cdot 2^{2 x}

Apply exponent rule:

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

2^{2 (x + 1)} \cdot 2^{2 x} = 2^{2 (x + 1) + 2 x}

= 2^{2 (x + 1) + 2 x}

Simplify

2 (x + 1) + 2 x : 4 x + 2

= 2^{4 x + 2}

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Frequently Asked Questions (FAQ)

What is 4^{x+1}*2^{2x} ?
The solution to 4^{x+1}*2^{2x} is 2^{4x+2}