Solve (27 1/3 * 3b ^ - 4)/(3b ^ - 5) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{27\frac{1}{3}\times3b^{-4}}{3b^{-5}}$$

Evaluate

$\frac{82b}{3}$

Solution Steps

Multiply $27$ and $3$ to get $81$.

$$\frac{\frac{81+1}{3}\times 3b^{-4}}{3b^{-5}}$$

Add $81$ and $1$ to get $82$.

$$\frac{\frac{82}{3}\times 3b^{-4}}{3b^{-5}}$$

Multiply $\frac{82}{3}$ and $3$ to get $82$.

$$\frac{82b^{-4}}{3b^{-5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{82b^{1}}{3}$$

Calculate $b$ to the power of $1$ and get $b$.

$$\frac{82b}{3}$$

Expand

$\frac{82b}{3}$

Solution Steps

Multiply $27$ and $3$ to get $81$.

$$\frac{\frac{81+1}{3}\times 3b^{-4}}{3b^{-5}}$$

Add $81$ and $1$ to get $82$.

$$\frac{\frac{82}{3}\times 3b^{-4}}{3b^{-5}}$$

Multiply $\frac{82}{3}$ and $3$ to get $82$.

$$\frac{82b^{-4}}{3b^{-5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{82b^{1}}{3}$$

Calculate $b$ to the power of $1$ and get $b$.

$$\frac{82b}{3}$$