Solve 7^2*7div49/56

$${ 7 }^{ 2 } \times 7 \div \frac{ 49 }{ 56 }$$

Evaluate

$$392$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{7^{3}}{\frac{49}{56}}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{343}{\frac{49}{56}}$$

Reduce the fraction \frac{49}{56} to lowest terms by extracting and canceling out 7.

$$\frac{343}{\frac{7}{8}}$$

Divide 343 by \frac{7}{8} by multiplying 343 by the reciprocal of \frac{7}{8}.

$$343\times \frac{8}{7}$$

Express 343\times \frac{8}{7} as a single fraction.

$$\frac{343\times 8}{7}$$

Multiply 343 and 8 to get 2744.

$$\frac{2744}{7}$$

Divide 2744 by 7 to get 392.

$$392$$

Factor

$$2^{3}\times 7^{2}$$