Solve 28^7:4^7/(7*7^2)^2text{wynosi}7

$$\frac { 28 ^ { 7 } : 4 ^ { 7 } } { ( 7 \cdot 7 ^ { 2 } ) ^ { 2 } } \text { wynosi } 7$$

Evaluate

$$49inoswy$$

Solution Steps

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

$$\frac{\frac{28^{7}}{4^{7}}}{\left(7^{3}\right)^{2}}wynos\times \left(7i\right)$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{\frac{28^{7}}{4^{7}}}{7^{6}}wynos\times \left(7i\right)$$

Calculate 28 to the power of 7 and get 13492928512.

$$\frac{\frac{13492928512}{4^{7}}}{7^{6}}wynos\times \left(7i\right)$$

Calculate 4 to the power of 7 and get 16384.

$$\frac{\frac{13492928512}{16384}}{7^{6}}wynos\times \left(7i\right)$$

Divide 13492928512 by 16384 to get 823543.

$$\frac{823543}{7^{6}}wynos\times \left(7i\right)$$

Calculate 7 to the power of 6 and get 117649.

$$\frac{823543}{117649}wynos\times \left(7i\right)$$

Divide 823543 by 117649 to get 7.

$$7wynos\times \left(7i\right)$$

Multiply 7 and 7i to get 49i.

$$49iwynos$$

Expand

$$49inoswy$$

Solution Steps

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

$$\frac{\frac{28^{7}}{4^{7}}}{\left(7^{3}\right)^{2}}wynos\times \left(7i\right)$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{\frac{28^{7}}{4^{7}}}{7^{6}}wynos\times \left(7i\right)$$

Calculate 28 to the power of 7 and get 13492928512.

$$\frac{\frac{13492928512}{4^{7}}}{7^{6}}wynos\times \left(7i\right)$$

Calculate 4 to the power of 7 and get 16384.

$$\frac{\frac{13492928512}{16384}}{7^{6}}wynos\times \left(7i\right)$$

Divide 13492928512 by 16384 to get 823543.

$$\frac{823543}{7^{6}}wynos\times \left(7i\right)$$

Calculate 7 to the power of 6 and get 117649.

$$\frac{823543}{117649}wynos\times \left(7i\right)$$

Divide 823543 by 117649 to get 7.

$$7wynos\times \left(7i\right)$$

Multiply 7 and 7i to get 49i.

$$49iwynos$$