Solve (y^2*y^3)^3div(y*y^4)

$$( y ^ { 2 } \cdot y ^ { 3 } ) ^ { 3 } \div ( y \cdot y ^ { 4 } )$$

Evaluate

$$y^{10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\left(y^{5}\right)^{3}}{yy^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 3 to get 15.

$$\frac{y^{15}}{yy^{4}}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{y^{15}}{y^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 15 to get 10.

$$y^{10}$$

Expand

$$y^{10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\left(y^{5}\right)^{3}}{yy^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 3 to get 15.

$$\frac{y^{15}}{yy^{4}}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{y^{15}}{y^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 15 to get 10.

$$y^{10}$$