Solve (+3)^12div[(+3)^2*(+3)^4div(+3)]^2

$$( + 3 ) ^ { 12 } \div [ ( + 3 ) ^ { 2 } \cdot ( + 3 ) ^ { 4 } \div ( + 3 ) ] ^ { 2 }$$

Evaluate

$$9$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{3^{12}}{\left(\frac{3^{6}}{3}\right)^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 6 to get 5.

$$\frac{3^{12}}{\left(3^{5}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$\frac{3^{12}}{3^{10}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 10 from 12 to get 2.

$$3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$9$$

Factor

$$3^{2}$$