Exponent Laws- Multiplying, dividing, and power

1) Simplify:

3^6

3^8

3^2

27

The given expression simplifies to 3 raised to the power of 8. This is because when you have the same base raised to different exponents, you can add the exponents together. Therefore, 3^6 multiplied by 3^8 is equal to 3^(6+8) which simplifies to 3^14. However, since 3^2 is also included in the expression, we subtract 3^2 from 3^14 to get 3^12. Finally, since 27 is equal to 3^3, we divide 3^12 by 3^3 to get 3^9. Therefore, the simplified expression is 3^9.

Explanation

The given expression simplifies to 3 raised to the power of 8. This is because when you have the same base raised to different exponents, you can add the exponents together. Therefore, 3^6 multiplied by 3^8 is equal to 3^(6+8) which simplifies to 3^14. However, since 3^2 is also included in the expression, we subtract 3^2 from 3^14 to get 3^12. Finally, since 27 is equal to 3^3, we divide 3^12 by 3^3 to get 3^9. Therefore, the simplified expression is 3^9.

2) Simplify:

to write your exponent use the ^ (shift 6)

The given question instructs to simplify the expression 5^9. This means we need to evaluate 5 raised to the power of 9. In other words, we need to multiply 5 by itself 9 times. The correct answer is 5^9.

Explanation

The given question instructs to simplify the expression 5^9. This means we need to evaluate 5 raised to the power of 9. In other words, we need to multiply 5 by itself 9 times. The correct answer is 5^9.

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3) When you have a division problem, how do you simplify the exponents while keeping in exponent form?

When simplifying the exponents in a division problem while keeping them in exponent form, you subtract the exponents. This is because when you divide two numbers with the same base, you subtract the exponents of the base to simplify the expression. For example, if you have x^3 / x^2, you can simplify it by subtracting the exponents: x^(3-2) = x^1 = x. So, subtracting the exponents is the correct way to simplify exponents in division problems.

Explanation

When simplifying the exponents in a division problem while keeping them in exponent form, you subtract the exponents. This is because when you divide two numbers with the same base, you subtract the exponents of the base to simplify the expression. For example, if you have x^3 / x^2, you can simplify it by subtracting the exponents: x^(3-2) = x^1 = x. So, subtracting the exponents is the correct way to simplify exponents in division problems.

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4) When you have a power raised to a power, to simplify you_______________

Add the exponents

Subtract the exponents

Multiply the exponents

Divide the exponents

When you have a power raised to a power, to simplify, you multiply the exponents. This is because when you have a power raised to another power, you are essentially multiplying the base by itself multiple times. The exponent of the outer power represents the number of times you multiply the base, while the exponent of the inner power represents the number of times you multiply the result of the base raised to the previous power. Therefore, multiplying the exponents of the powers simplifies the expression.

Explanation

When you have a power raised to a power, to simplify, you multiply the exponents. This is because when you have a power raised to another power, you are essentially multiplying the base by itself multiple times. The exponent of the outer power represents the number of times you multiply the base, while the exponent of the inner power represents the number of times you multiply the result of the base raised to the previous power. Therefore, multiplying the exponents of the powers simplifies the expression.

5) After you watch and take notes from the video, click true and take the quiz. https://www.showme.com/sh/?h=DEhzD6G

True

False

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Explanation

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Exponent Laws- Multiplying, Dividing, And Power