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If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?
The exponents are added.
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
When dividing powers with the same base you do what?
When dividing powers with the same base, you subtract the exponents. The formula is (a^m \div a^n = a^{m-n}), where (a) is the base and (m) and (n) are the exponents. This simplification follows from the properties of exponents.
Multiply and simplify 5 to the 9th power X 5 to the 7th power?
Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.
When do add exponents?
when you multiply powers with the same base.
When multiplying variables with the same base what do you do with the exponents?
You add them.
What you do with the exponents when you you are multiplying?
If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.
What happens when 2 numbers with the same base are divided?
When two numbers with the same base are divided, their exponents are subtracted. This is expressed mathematically as ( a^m / a^n = a^{m-n} ), where ( a ) is the base and ( m ) and ( n ) are the exponents of the respective numbers. The result will be a new number with the same base raised to the difference of the exponents. If ( m < n ), the result will be a fraction.
When multiplying a number exponents that are squared do you add or multiply?
If the base numbers or variables are the same, you add the exponents.
How do you simplify exponents or powers in algebra?
When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x
What is a rule that works for multiplying powers of the same base in exponents?
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
What is the rule for dividing powers to the same base?
When dividing powers with the same base, you subtract the exponents. The rule can be expressed as ( a^m \div a^n = a^{m-n} ), where ( a ) is the base and ( m ) and ( n ) are the exponents. This rule applies as long as the base ( a ) is not zero.
