Question

Simplifying exponents (picture provided)

Answer 1

Answer:

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

$3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}$

3^2 ; Option B

Answer 2

Answer:

The answer would be $3^{2}$.

Step-by-step explanation:

-Solve the following equation:

$3^{-6} \times ( 3^{4} \div 3^{0})^{2}$

-When dividing integers, the exponents would subtract each other. So, you subtract exponent $0$ and $4$:

$3^{-6} \times ( 3^{4} \div 3^{0})^{2}$

$3^{-6} \times ( 3^{4})^{2}$

-Simplify $3^{4}$ by the exponent $2$:

$3^{-6} \times ( 3^{4})^{2}$

$3^{-6} \times 3^{8}$

-When multiplying integers, the exponent would add up together. So, you would add $-6$ and $8$:

$3^{-6} \times 3^{8}$

$3^{2}$

So, the answer is $3^{2}$.