Math › How to use the power rule for exponents in pre-algebra
Which of the following is equivalent to ?
When an exponent expression is raised by another exponent, you can multiply the exponents:
What is the value of 93?
Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.
Simplify
When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply by
to find the power of the answer,
.
Which of the following is an alternate positive expression of 4-3?
You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.
What is simplified?
When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.
So we multiply by
to get the power of the answer, which is
.
The answer is .
Which of the following is equivalent to:
?
Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:
Simplify:
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply by
to get the power of the answer,
.
The answer is .
Simplify
When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.
So we multiply by
to get the final exponent, which is
.
The answer is .
Simplify .
When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.
We multiply by
to get the power of the answer,
.
The answer is .
According to the power rule for exponents, we can simplify and