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Popular >

simplify 2*4^x

Solution

simplify

2 \cdot 4^{x}

Solution

2^{1 + 2 x}

Solution steps

2 \cdot 4^{x}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

= 2 \cdot 2^{2 x}

Apply exponent rule:

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

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

= 2^{1 + 2 x}

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Frequently Asked Questions (FAQ)

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