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Popular >

simplify 2^{2n-1}*4^{1-n}

Solution

simplify

2^{2 n - 1} \cdot 4^{1 - n}

Solution

2

Solution steps

2^{2 n - 1} \cdot 4^{1 - n}

Simplify

4^{1 - n} : 2^{2 (1 - n)}

= 2^{2 n - 1} \cdot 2^{2 (1 - n)}

Apply exponent rule:

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

2^{2 n - 1} \cdot 2^{2 (1 - n)} = 2^{2 n - 1 + 2 (1 - n)}

= 2^{2 n - 1 + 2 (1 - n)}

2 n - 1 + 2 (1 - n) = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is 2^{2n-1}*4^{1-n} ?
The solution to 2^{2n-1}*4^{1-n} is 2