How to multiply exponents
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SAT Math › How to multiply exponents
Simplify:
Explanation
When multiplying exponents, we just add the exponents while keeping the base the same.
Explanation
When multplying exponents, we need to make sure we have the same base.
Since we do, all we have to do is add the exponents.
The answer is .
Solve:
Explanation
When multiplying expressions with the same variable, combine terms by adding the exponents, while leaving the variable unchanged. For this problem, we do that by adding 2+1, to get a new exponent of 3:
Explanation
When multplying exponents, we need to make sure we have the same base.
Since we do, all we have to do is add the exponents.
The answer is .
Simplify the expression.
Explanation
When multiplying with exponents, you must add the exponents.
Therefore, multiply the coefficients on the x terms and add the exponents
Simplify:
Explanation
When multiplying exponents with different bases but the same exponent, you multiply the bases and keep the exponents the same.
Solve:
Explanation
When multiplying expressions with the same variable, combine terms by adding the exponents, while leaving the variable unchanged. For this problem, we do that by adding 3+1, to get a new exponent of 4:
(b * b4 * b7)1/2/(b3 * bx) = b5
If b is not negative then x = ?
–2
–1
7
1
Explanation
Simplifying the equation gives b6/(b3+x) = b5.
In order to satisfy this case, x must be equal to –2.
Explanation
When multplying exponents, we need to make sure we have the same base.
Since we do, all we have to do is add the exponents.
The answer is .
Convert the product of to base
.
Explanation
Although they have different bases, we know that .
Therefore
.
Remember to apply the power rule of exponents.
Finally,
.