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Example Question #541 : Algebra
When dividing exponents, we need to make sure we have the same base. In this case we do. Since we are subtracting with a negative value, then it becomes addition. So far, we have . Since
is greater than
and is positive, the answer must be positive. We just treat this as a subtraction problem. The answer is
.
Example Question #21 : How To Divide Exponents
When dividing exponents, we need to make sure we have the same base. In this case we do. Then we just subtract the exponents. Since we are subtracting a positive value, the sign becomes negative. We treat the expression as addition but the answer is negative. The answer is .
Example Question #543 : Algebra
When dividing exponents, we need to make sure we have the same base. In this case we do. Since we are subtracting with a negative value, then it becomes addition. So far, we have . This is essentially
. Anything except
raised to
power is
. Answer is
.
Example Question #544 : Algebra
When dividing exponents, we need to make sure we have the same base. In this case we don't. However we can convert
to bases of
.
.We have changed the base and need to determine the exponent by doing a proportion.
. The top represents the power raised from base
. The bottom represents the power raised from base
. When we cross-multiply, we get
.
. The top represents the power raised from base
. The bottom represents the power raised from base
. When we cross-multiply, we get
.
We now have the same bases and now we just subtract the exponents. The answer is .
Example Question #545 : Algebra
When dividing exponents, we need to make sure we have the same base. In this case we don't, but .We have changed the base and need to determine the exponent by doing a proportion.
. The top represents the power raised from base
. The bottom represents the power raised from base
. When we cross-multiply, we get
. We now have the same bases and now we just subtract the exponents. The answer is
.
Example Question #546 : Algebra
Cannot be determined
When dividing exponents, we need to make sure we have the same base. In this case we don't, but .We have changed the base and need to determine the exponent by doing a proportion.
. The top represents the power raised from base
. The bottom represents the power raised from base
. When we cross-multiply, we get
. We now have the same bases and now we just subtract the exponents. The answer is
.
Example Question #542 : Algebra
Cannot be determined
When dividing exponents, we need to make sure we have the same base. In this case we don't. However, . To convert to base of
, we need to ensure the
and
base are raised to the same exponent. They are so therefore
. With same base now, we can subtract the exponents. The answer is
.
Example Question #22 : How To Divide Exponents
Simplify:
None of the other responses gives a correct answer.
Example Question #23 : How To Divide Exponents
Evaluate
When dividing exponents with the same base, we just subtract the exponents and keep the base the same.
Example Question #24 : How To Divide Exponents
Evaluate
When dividing exponents with the same base, we just subtract the exponents and keep the base the same.
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