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Popular >

simplify 2^{45/7}

Solution

simplify

2^{\frac{45}{7}}

Solution

64 \cdot 2^{\frac{3}{7}}

+1

Decimal Notation

86.13761 \dots

Solution steps

2^{\frac{45}{7}}

2^{\frac{45}{7}} = 2^{6 + \frac{3}{7}}

= 2^{6 + \frac{3}{7}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 2^{6} \cdot 2^{\frac{3}{7}}

2^{6} = 64

= 64 \cdot 2^{\frac{3}{7}}

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Frequently Asked Questions (FAQ)

What is 2^{45/7} ?
The solution to 2^{45/7} is 64*2^{3/7}