Using the Product Rule of Exponents, what is an equivalent form of 9^5⋅9^2 ?
The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents.
Therefore, an equivalent form of 9^5⋅9^2 is 9^(5+2), which simplifies to 9^7.
To simplify the expression 9^5⋅9^2 using the Product Rule of Exponents, we add the exponents.
The Product Rule states that for any positive integers a and b, a^m ⋅ a^n = a^(m+n).
So, for 9^5⋅9^2, we add the exponents 5 and 2:
9^5 ⋅ 9^2 = 9^(5+2)
Calculating the sum of the exponents:
9^(5+2) = 9^7
Therefore, an equivalent form of 9^5⋅9^2 is 9^7.
To find an equivalent form of 9^5⋅9^2 using the Product Rule of Exponents, we can add the exponents together.
The Product Rule states that when you multiply two numbers with the same base, you add their exponents.
So, 9^5⋅9^2 = 9^(5+2)
Simplifying the exponent, we have:
9^(5+2) = 9^7
Therefore, an equivalent form of 9^5⋅9^2 is 9^7.