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Mathematics 16 Online
OpenStudy (testing123guest):

can someone plz come help everyone welcome

OpenStudy (testing123guest):

OpenStudy (testing123guest):

@Hayleymeyer

OpenStudy (hayleymeyer):

oh wow,....

OpenStudy (testing123guest):

ya can u help plz

OpenStudy (anonymous):

When multiplying powers with the same base, simply add the exponents. For example,\[3^2 \times 3^4 = 3^6\]

OpenStudy (anonymous):

When dividing powers with the same base, simply subtract the exponents. For example,\[3^2 \div 3^4 = 3^{-2}\]

OpenStudy (anonymous):

Any number raised to the exponent 0 equals 1. For example,\[3^0 = 1\]

OpenStudy (anonymous):

And to change the sign of an exponent, take the reciprocal of the power. For example,\[3^{-2} = \frac{ 1 }{ 3^2 }\]

OpenStudy (anonymous):

That should be everything you need.

OpenStudy (testing123guest):

sorry i am not understanding

OpenStudy (anonymous):

Take the second box on your question. It is a multiplication of powers with the same base. So add the exponents. What do you get?

OpenStudy (anonymous):

Look at the first example I did and apply that to your question.

OpenStudy (testing123guest):

i am not sure i am horrible at exponites

OpenStudy (anonymous):

It's not difficult, all you need is to be able to add and subtract.

OpenStudy (anonymous):

In the second box, the base is 5. What are the two exponents?

OpenStudy (testing123guest):

3 and -1

OpenStudy (anonymous):

Good. Add those two exponents together. What do you get?

OpenStudy (testing123guest):

2

OpenStudy (anonymous):

Terrific. So\[5^3 \times 5^{-1} = 5^2\]See how it works. Easy as pie.

OpenStudy (anonymous):

Now, I would leave the 3rd box the way it is and simplify the 4th box. Look at my 4th example above. What happens when you take the reciprocal of a power?

OpenStudy (anonymous):

Hello?

OpenStudy (testing123guest):

sorry

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