Q&A for How to Multiply Exponents

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What is the solution for 3.5 x 10 to the fourth power?

Community Answer

10^4 = 10 x 10 x 10 x 10 = 10,000, so you are really multiplying 3.5 x 10,000. The shortcut is that, when 10 is raised to a certain power, the exponent tells you how many zeros. 10^4 = 1 followed by 4 zeros = 10,000. Thus, you can just move the decimal point to the right 4 spaces: 3.5 x 10^4 = 35,000.

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Question

How do I divide exponents that don't have the same base?

Community Answer

To learn how to divide exponents, you can read the following article: http://www.wikihow.com/Divide-Exponents

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Question

How do I write 0.0321 in scientific notation?

Donagan

Top Answerer

0.0321 = 3.21 x 10^(-2).

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How do I multiply 6.56 x 10^-3?

Donagan

Top Answerer

Just move the decimal point three places to the left. 6.56 x 10^(-3) = 0.00656.

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How can I calculate the value of $1000 with annual interest of 9% over 40 years?

Donagan

Top Answerer

It depends on how often the interest is compounded. Assuming an annual compounding, the formula is (1,000)(1.09)^40. So you would have to raise 1.09 to the 40th power, then multiply by $1,000. If the compounding is monthly, the formula is (1,000)(1.0075)^480. So you would raise 1.0075 to the power of 480 before multiplying by $1,000. Obviously you'd need a calculator for this.

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Question

How would I solve (r^3)(3^3)? I'm confused even after reading the article.

Donagan

Top Answerer

(r³)(3³) = (3³)(r³) = 3³r³ = 27r³.

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Question

What is g^6 .g^3.g^2=?

Donagan

Top Answerer

Add exponents: g^11.

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Question

How would I add a negative exponent to a positive exponent?

Donagan

Top Answerer

Subtract the numerical value of the negative exponent from the positive exponent. For example, multiply x^6 by x^-4: (x^6)(x^-4) = x^2.

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