How do you multiply equations with exponents?

How do you multiply equations with exponents?

To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base.

What is the law of exponents for multiplication?

Laws of Exponents. When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

How do you simplify equations?

To simplify any algebraic expression, the following are the basic rules and steps:

1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

What are the five exponent laws?

What are the different rules of exponents?

• Product of powers rule.
• Quotient of powers rule.
• Power of a power rule.
• Power of a product rule.
• Power of a quotient rule.
• Zero power rule.
• Negative exponent rule.

What to do with exponents when multiplying?

When multiplying exponents, if the exponents are positive, you add them together. If the exponents are negative, you subtract. The rules are the same as adding and subtracting integers. However, you can only combine exponents if the base is the same (i.e., 2^4 and 2^7 multiplied 2^4 * 2^7 = 2^11).

Is there simpler way to multiply exponents?

Method 2 of 3: Multiplying Exponents with Different Bases Calculate the first exponential expression. Since the exponents have different bases, there is no shortcut for multiplying them. Calculate the second exponential expression. Do this by multiplying the base number by itself however many times the exponent says. Rewrite the problem using the new calculations. Multiply the two numbers.

When do I multiply exponents?

You can only multiply terms with exponents when the bases are the same. Multiply the terms by adding the exponents. For example, 2^3 * 2^4 = 2^ (3+4) = 2^7. The general rule is x^a * x^b = x^ (a+b). Compute each term separately if the bases in the terms are not the same.

How do you multiply exponents with the same base?

Multiplying Exponents with the Same Base Make sure the exponents have the same base. The base is the large number in the exponential expression. Add the exponents together. Rewrite the expression, keeping the same base but putting the sum of the original exponents as the new exponent. Calculate the expression.