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Popular >

simplify 2^{7/6}*32^{7/6}

Solution

simplify

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

Solution

128

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

2^{\frac{7}{6}} \cdot 3 2^{\frac{7}{6}} = (2 \cdot 32)^{\frac{7}{6}}

= (2 \cdot 32)^{\frac{7}{6}}

Multiply the numbers:

2 \cdot 32 = 64

= 6 4^{\frac{7}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{\frac{7}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(2^{6})^{\frac{7}{6}} = 2^{6 \cdot \frac{7}{6}} = 2^{7}

= 2^{7}

Refine

= 128

Popular Examples

simplify 7/18-4/15 simplify

\frac{7}{18} - \frac{4}{15}

9 - x = 11

2 x^{2} + 6 x - 56 = 0

x^{2} = 112

∣ n + 2 ∣ \leq 6

Frequently Asked Questions (FAQ)

What is 2^{7/6}*32^{7/6} ?
The solution to 2^{7/6}*32^{7/6} is 128