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Popular >

simplify 343^{2/3}*32^{2/5}

Solution

simplify

34 3^{\frac{2}{3}} \cdot 3 2^{\frac{2}{5}}

Solution

196

Solution steps

34 3^{\frac{2}{3}} \cdot 3 2^{\frac{2}{5}}

34 3^{\frac{2}{3}} = 49

= 49 \cdot 3 2^{\frac{2}{5}}

Factor the number:

32 = 2^{5}

= 49 (2^{5})^{\frac{2}{5}}

Apply exponent rule:

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

(2^{5})^{\frac{2}{5}} = 2^{5 \cdot \frac{2}{5}}

= 49 \cdot 2^{5 \cdot \frac{2}{5}}

5 \cdot \frac{2}{5} = 2

= 49 \cdot 2^{2}

2^{2} = 4

= 49 \cdot 4

Multiply the numbers:

49 \cdot 4 = 196

= 196

Popular Examples

11 t^{2} + 250 = 125

simplify (x^{1/3}y^{2/5})/(x^{-1/5)y}simplify

\frac{x ^{\frac{1}{3}} y ^{\frac{2}{5}}}{x ^{- \frac{1}{5}} y}

3 x + \frac{3}{2} x = 12.15

-8z+11=-10-5.5z

- 8 z + 11 = - 10 - 5.5 z

(x^2-4x-12)/(x^2-1)>= 0

\frac{x ^{2} - 4 x - 12}{x ^{2} - 1} \geq 0

Frequently Asked Questions (FAQ)

What is 343^{2/3}*32^{2/5} ?
The solution to 343^{2/3}*32^{2/5} is 196