All ACT Math Resources
Example Questions
Example Question #21 : Exponential Operations
Simplify
.
This is just a matter of simply distributing this multiplication. Start by the basic distribution:
Now, you just add the exponents that are similar. Thus, you get:
Example Question #21 : How To Multiply Exponents
Simplify the following:
None of these
The rule for multiplying exponents is
.
Using this, we see that
.
Thus, our answer is .
Example Question #22 : Exponents
The expression is equivalent to which of the following?
None of these
The formula for multiplying exponents is
.
Using this, we see that
, and
.
Example Question #21 : How To Multiply Exponents
Simplify the following:
When two variables with exponents are multiplied, you can simplify the expression by adding the exponents together. In this particular problem, the correct answer is found by adding the exponents 5 and 5, yielding .
Example Question #22 : How To Multiply Exponents
Simplify the following to its simplest exponential expression:
When multiplying exponential expressions, the bases remain the same and the exponents are added. Thus, the answer to this question is .
Example Question #23 : How To Multiply Exponents
can be written as which of the following?
A.
B.
C.
A only
A and C
C only
A, B and C
B and C
A and C
B is not equivalent because...
A is equivalent because of a property of exponents meaning that . Consequently,
C is simply computing .
Example Question #21 : How To Multiply Exponents
Solve when and .
Substitute for and for :
Simplify:
Example Question #24 : How To Multiply Exponents
What is ?
When an exponent is raised to an exponent, you may simplify by multiplying the exponents together to make a new exponent. In this case, becomes , which equals .
Example Question #25 : How To Multiply Exponents
Simplify:
When exponents with the same base are being multiplied, you may add the exponents together to create a new exponent.
In this case, you would add 6 and 4 to create 10 as the new exponent.
Keeping the same base, the answer becomes .
Example Question #21 : Exponential Operations
Solve: when and .
Substitute for and for : .
Simplify: