How to use the product rule for exponents in pre-algebra - Math

When you are required to multiply exponential expressions with different bases but the same exponent, you can simplify the expression by adding parentheses and only using the exponent one time.

This expression is a product of exponents with like bases. In these situations, we should use the product rule, which states that we should addthe exponents.

Any number to the "zero" power is equal to .

The product rule for exponents states that when like numbers are raised to a certain power, their exponents are added to one another.

Solve for the exponent equation.

Therefore,

.

The quotient rule for exponents states that when like numbers are raised to a certain power, then their exponents are subtracted from one another.

Solve for the exponent equation.

Combine like terms.

Therefore,

When multilping 2 numbers with exponents, if the bases are the same, they can be combined and the exponents add together.

Since all terms are being multiplied, we can simplify by grouping like terms together.

To simplify the variable, we can add the exponents according to exponential identities.

Begin by distributing the exponent into the parentheses. Remember that each term in the parentheses must be squared.

All terms are now being multiplied. To make it simpler, we can re-group by like terms.

Multiplying exponential terms with the same base allows us to add the exponents.

Recall that when we are multiplying exponential expressions with the same base, we add the exponents and keep the base the same. Additionally, remember that adding a negative number is equivalent to subtracting.

When multiplying the same variable raised to different powers, add the powers of each term together. In this case, add and together to find the power of the answer, .

This expression is a product of exponents with like bases. In these situations, we should use the product rule, which states that we should addthe exponents.

Any number to the "zero" power is equal to .

The product rule for exponents states that when like numbers are raised to a certain power, their exponents are added to one another.

Solve for the exponent equation.

Therefore,

.

The quotient rule for exponents states that when like numbers are raised to a certain power, then their exponents are subtracted from one another.

Solve for the exponent equation.

Combine like terms.

Therefore,

When multilping 2 numbers with exponents, if the bases are the same, they can be combined and the exponents add together.

Since all terms are being multiplied, we can simplify by grouping like terms together.

To simplify the variable, we can add the exponents according to exponential identities.

Begin by distributing the exponent into the parentheses. Remember that each term in the parentheses must be squared.

All terms are now being multiplied. To make it simpler, we can re-group by like terms.

Multiplying exponential terms with the same base allows us to add the exponents.

When you multiply two exponential expressions with the same base, add the exponents to simplify the expression.

When you are required to multiply exponential expressions with different bases but the same exponent, you can simplify the expression by adding parentheses and only using the exponent one time.