Solve (a^{6}diva^{2})^2+a^50diva^3*a^2

$$( a ^ { 6 } \div a ^ { 2 } ) ^ { 2 } + a ^ { 50 } \div a ^ { 3 } \cdot a ^ { 2 }$$

Evaluate

$$a^{49}+a^{8}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 6 to get 4.

$$\left(a^{4}\right)^{2}+\frac{a^{50}}{a^{3}}a^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$a^{8}+\frac{a^{50}}{a^{3}}a^{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 50 to get 47.

$$a^{8}+a^{47}a^{2}$$

To multiply powers of the same base, add their exponents. Add 47 and 2 to get 49.

$$a^{8}+a^{49}$$

Expand

$$a^{49}+a^{8}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 6 to get 4.

$$\left(a^{4}\right)^{2}+\frac{a^{50}}{a^{3}}a^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$a^{8}+\frac{a^{50}}{a^{3}}a^{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 50 to get 47.

$$a^{8}+a^{47}a^{2}$$

To multiply powers of the same base, add their exponents. Add 47 and 2 to get 49.

$$a^{8}+a^{49}$$