Which of the following is an equivalent expression to 5^9 x 5^13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?
bot your so dumb
The expression 5^9 x 5^13 can be simplified by applying the property of exponents which states that when multiplying two exponential expressions with the same base, you add the exponents.
Therefore, 5^9 x 5^13 is equivalent to 5^(9+13) = 5^22.
So the expression that is generated by applying the Properties of Integer Exponents is 5^22.
Which of the following is an equivalent expression to 5^9 x 5^-13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?
To simplify the expression 5^9 x 5^-13, we can apply the property of exponents which states that when dividing two exponential expressions with the same base, you subtract the exponents. In this case, 5^-13 is equivalent to 1/5^13 or 5^-13 = 1/5^13.
Therefore, 5^9 x 5^-13 is equivalent to 5^9 / 5^13 = 5^(9-13) = 5^(-4).
To generate an equivalent expression with only positive exponents, we can again apply the property of exponents which states that a negative exponent can be written as a positive exponent by taking the reciprocal of the base. In this case, 5^-4 is equivalent to 1/5^4 or 5^-4 = 1/5^4.
Therefore, the equivalent expression with only positive exponents is 1/5^4.
To simplify the expression 5^9 x 5^13 with only positive exponents, we can make use of a property of exponents: when you multiply two powers with the same base, you add their exponents.
So, to simplify 5^9 x 5^13, we add the exponents together:
9 + 13 = 22
Therefore, an equivalent expression with only positive exponents would be: 5^22.
To simplify the expression 5^9 x 5^13 and generate an equivalent expression with only positive exponents using the properties of integer exponents, we can apply the rule of exponent addition.
The rule of exponent addition states that when multiplying two terms with the same base, you add the exponents together. Therefore, we can add the exponents of 5 to simplify the expression.
5^9 x 5^13 can be rewritten as 5^(9+13).
Now, we can simplify the exponent by adding the values: 9 + 13 = 22.
Therefore, an equivalent expression with only positive exponents would be 5^22.