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Popular >

simplify ((3x^4)/(y^6))^5

Solution

simplify

(\frac{3 x ^{4}}{y ^{6}})^{5}

Solution

\frac{243 x ^{20}}{y ^{30}}

Solution steps

(\frac{3 x ^{4}}{y ^{6}})^{5}

Apply exponent rule:

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

= \frac{( 3 x ^{4} ) ^{5}}{( y ^{6} ) ^{5}}

Simplify

(3 x^{4})^{5} : 243 x^{20}

= \frac{243 x ^{20}}{( y ^{6} ) ^{5}}

Simplify

(y^{6})^{5} : y^{30}

= \frac{243 x ^{20}}{y ^{30}}

Popular Examples

simplify sqrt(64+225)simplify

64 + 225

factor 7x^2-7x-42 factor

7 x^{2} - 7 x - 42

g + 8 \leq 2 g + 5

simplify (sqrt(32))/(sqrt(8))simplify

\frac{32}{8}

5x+4<= 9\lor 3x-6>= 9

5 x + 4 \leq 9 or 3 x - 6 \geq 9

Frequently Asked Questions (FAQ)

What is ((3x^4)/(y^6))^5 ?
The solution to ((3x^4)/(y^6))^5 is (243x^{20})/(y^{30)}