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Popular >

simplify a 2/5 b^3*a 2/5 b^3

Solution

simplify

a \frac{2}{5} b^{3} \cdot a \frac{2}{5} b^{3}

Solution

\frac{4 a ^{2} b ^{6}}{25}

Solution steps

a \frac{2}{5} b^{3} a \frac{2}{5} b^{3}

Apply exponent rule:

aa = a^{2}

aa = a^{2}

= a^{2} \frac{2}{5} b^{3} \frac{2}{5} b^{3}

Apply exponent rule:

aa = a^{2}

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

= a^{2} (\frac{2}{5})^{2} b^{3} b^{3}

Simplify

b^{3} b^{3} : b^{6}

= a^{2} (\frac{2}{5})^{2} b^{6}

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

= \frac{2 ^{2}}{5 ^{2}} a^{2} b^{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{2} a ^{2} b ^{6}}{5 ^{2}}

Refine

= \frac{4 a ^{2} b ^{6}}{25}

Popular Examples

factor 144-9t^2 factor

144 - 9 t^{2}

28 - \frac{x}{2} = \frac{x}{5}

x^{2} - 16 = 8

- ∣ - 5 c ∣ - 3 < - 8

simplify (7!)/(2!(7-2)!)simplify

\frac{7 !}{2 ! ( 7 - 2 ) !}

Frequently Asked Questions (FAQ)

What is a 2/5 b^3*a 2/5 b^3 ?
The solution to a 2/5 b^3*a 2/5 b^3 is (4a^2b^6)/(25)