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vichka [17]
3 years ago
10

Simplifying exponents (picture provided)

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0

Answer:

<em>3^2 ; Option B</em>

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}

<em>3^2 ; Option B</em>

marysya [2.9K]3 years ago
5 0

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}.

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