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Popular >

factor 36(2^{x-2})

Solution

factor

36 (2^{x - 2})

Solution

9 \cdot 2^{x}

Solution steps

36 (2^{x - 2})

Remove parentheses:

(a) = a

= 36 \cdot 2^{x - 2}

Factor integer

36 = 2^{2} \cdot 9

= 2^{2} \cdot 9 \cdot 2^{x - 2}

Apply exponent rule:

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

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

= 9 \cdot 2^{2 + x - 2}

Simplify

2 + x - 2 : x

= 9 \cdot 2^{x}

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Frequently Asked Questions (FAQ)

What is factor 36(2^{x-2}) ?
The solution to factor 36(2^{x-2}) is 9*2^x