To simplify the expression 3^8 * 3^3 using the Product Rule of Exponents, we add the exponents of the same base, which in this case is 3.
The Product Rule of Exponents states that for any positive number a and any nonzero number b, (a^m) * (a^n) = a^(m+n).
Therefore, 3^8 * 3^3 = 3^(8+3) = 3^11.
So the simplified expression is 3^11.
Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3 .(1 point)
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Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2 .(1 point)
To simplify the expression 7^5 * 7^2 using the Product Rule of Exponents, we add the exponents of the same base, which in this case is 7.
The Product Rule of Exponents states that for any positive number a and any nonzero number b, (a^m) * (a^n) = a^(m+n).
Therefore, 7^5 * 7^2 = 7^(5+2) = 7^7.
So the simplified expression is 7^7.
The Product Rule of Exponents states that for any positive number a and any nonzero number b, (a^m) * (a^n) = a^(m+n).
Therefore, 7^5 * 7^2 = 7^(5+2) = 7^7.
So the simplified expression is 7^7.
Find the numerical equivalent of 7^2⋅7^3 (1 point)
To find the numerical equivalent of 7^2 * 7^3, we can apply the Product Rule of Exponents which states that to multiply two numbers with the same base, we add their exponents.
Therefore, 7^2 * 7^3 = 7^(2 + 3) = 7^5.
To find the numerical value of 7^5, we need to evaluate it.
7^5 = 7 * 7 * 7 * 7 * 7 = 16807.
So the numerical equivalent of 7^2 * 7^3 is 16807.
Therefore, 7^2 * 7^3 = 7^(2 + 3) = 7^5.
To find the numerical value of 7^5, we need to evaluate it.
7^5 = 7 * 7 * 7 * 7 * 7 = 16807.
So the numerical equivalent of 7^2 * 7^3 is 16807.
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To find the numerical equivalent of 7^2 * 7^3, we can apply the Product Rule of Exponents which states that to multiply two numbers with the same base, we add their exponents.
Therefore, 7^2 * 7^3 = 7^(2 + 3) = 7^5.
To find the numerical value of 7^5, we need to evaluate it.
7^5 = 7 * 7 * 7 * 7 * 7 = 16807.
So the numerical equivalent of 7^2 * 7^3 is 16807.
To find the numerical equivalent of 7^2 * 7^3, we can apply the Product Rule of Exponents which states that to multiply two numbers with the same base, we add their exponents.
Therefore, 7^2 * 7^3 = 7^(2 + 3) = 7^5.
To find the numerical value of 7^5, we need to evaluate it.
7^5 = 7 * 7 * 7 * 7 * 7 = 16807.
So the numerical equivalent of 7^2 * 7^3 is 16807.