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Example Questions
Example Question #3381 :Algebra Ii
Expand
When expanding exponents, we repeat the base by the exponential value.
Example Question #51 :Simple Exponents
Expand
When expanding exponents, we repeat the base by the exponential value.
Example Question #52 :Simple Exponents
Changeto base
To convert the base, we know that. Therefore. Remember to apply the power rule of exponents.
Example Question #53 :Simple Exponents
Changeto base
To convert the base, we know that. Therefore. Remember to apply the power rule of exponents.
Example Question #55 :Simple Exponents
Changeto base.
To convert the base, we know that. Therefore. Remember to apply the power rule of exponents.Answer is.
Example Question #56 :Simple Exponents
Changeto base
To convert the base, we know that. Therefore. Remember to apply the power rule of exponents. Next, we know that. Therefore,. Then.. Answer is
Example Question #57 :Simple Exponents
Evaluate
We can expandas.
First multiply the first two integers:
From here multiply 49 with the remaining 7:
Multiply 7 by 9, leave the 3 in the ones place and carry the 6.
Now multiply 7 by 4 and add the remaining 6.
The product is.
Example Question #58 :Simple Exponents
Evaluate
We can expandto.
First multiply the first two integers together.
Now multiply 81 by 9. First multiply the 9 by the one then the 9 by the 8:
From here multiply 729 by 9.
Ones place:Keep the one and carry the eight.
Tens place:Keep the six and carry the two.
The hundredths place:
Combining the values to solve for the product results in:
.
Example Question #59 :Simple Exponents
Evaluate
We can expandto be. Remember when an even number of negative values are multiplied together the product becomes positive.
First multiply the first two integers:
Now multiply 36 by -6:
First multiply 6 by 6, then 3 by 6 plus the remainder.
Ones place:
Tens place:
Thus,
Now multiply -216 by -6.
Ones place:
Tens place:
Hundreds place:
Combining these results in
The product is then.
Example Question #60 :Simple Exponents
Evaluate
We can expandto be. Remember the negative is outside the exponent.
First multiply the first two integers:
Now multiply 36 by 6:
First multiply 6 by 6, then 3 by 6 plus the remainder.
Ones place:
Tens place:
Thus,
Now multiply 216 by 6.
Ones place:
Tens place:
Hundreds place:
Combining these results in
Substituting this back into theto bethe product is then.
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