Solve 24g^3/5f^2*10(9f)^3/8q^5f

$$\frac { 24 g ^ { 3 } } { 5 f ^ { 2 } } \cdot \frac { 10 ( 9 f ) ^ { 3 } } { 8 q ^ { 5 } f }$$

Evaluate

$$\frac{4374g^{3}}{q^{5}}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times \left(9f\right)^{3}}{4fq^{5}}$$

Expand \left(9f\right)^{3}.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times 9^{3}f^{3}}{4fq^{5}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times 729f^{3}}{4fq^{5}}$$

Multiply 5 and 729 to get 3645.

$$\frac{24g^{3}}{5f^{2}}\times \frac{3645f^{3}}{4fq^{5}}$$

Cancel out f in both numerator and denominator.

$$\frac{24g^{3}}{5f^{2}}\times \frac{3645f^{2}}{4q^{5}}$$

Multiply \frac{24g^{3}}{5f^{2}} times \frac{3645f^{2}}{4q^{5}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24g^{3}\times 3645f^{2}}{5f^{2}\times 4q^{5}}$$

Cancel out 4\times 5f^{2} in both numerator and denominator.

$$\frac{6\times 729g^{3}}{q^{5}}$$

Multiply 6 and 729 to get 4374.

$$\frac{4374g^{3}}{q^{5}}$$

Expand

$$\frac{4374g^{3}}{q^{5}}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times \left(9f\right)^{3}}{4fq^{5}}$$

Expand \left(9f\right)^{3}.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times 9^{3}f^{3}}{4fq^{5}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{24g^{3}}{5f^{2}}\times \frac{5\times 729f^{3}}{4fq^{5}}$$

Multiply 5 and 729 to get 3645.

$$\frac{24g^{3}}{5f^{2}}\times \frac{3645f^{3}}{4fq^{5}}$$

Cancel out f in both numerator and denominator.

$$\frac{24g^{3}}{5f^{2}}\times \frac{3645f^{2}}{4q^{5}}$$

Multiply \frac{24g^{3}}{5f^{2}} times \frac{3645f^{2}}{4q^{5}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24g^{3}\times 3645f^{2}}{5f^{2}\times 4q^{5}}$$

Cancel out 4\times 5f^{2} in both numerator and denominator.

$$\frac{6\times 729g^{3}}{q^{5}}$$

Multiply 6 and 729 to get 4374.

$$\frac{4374g^{3}}{q^{5}}$$