Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3
The Product Rule of Exponents states that when multiplying two exponential expressions with equal bases, you can add their exponents.
Therefore, applying the product rule of exponents to the expression 3^8 ⋅ 3^3, we have:
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 7^5 ⋅7^2.
The Product Rule of Exponents states that when multiplying two exponential expressions with equal bases, you can add their exponents.
So, applying the product rule of exponents to the expression 7^5 ⋅ 7^2, we have:
7^5 ⋅ 7^2 = 7^(5+2) = 7^7
Thus, the simplified expression is 7^7.
Find the numerical equivalent of 7^2⋅7^3
To find the numerical equivalent of an expression like 7^2 ⋅ 7^3, we can simply perform the calculation using the same base and exponent rules.
7^2 ⋅ 7^3 = (7 * 7) ⋅ (7 * 7 * 7) = 49 ⋅ 343 = 16807
Therefore, the numerical equivalent of 7^2 ⋅ 7^3 is 16807.
Find the numerical equivalent of 3^9⋅3^−5
To find the numerical equivalent of an expression like 3^9⋅3^(-5), we can use the rule that states when multiplying two exponential expressions with the same base, we can add their exponents.
3^9⋅3^(-5) = 3^(9+(-5)) = 3^4
Therefore, the numerical equivalent of 3^9⋅3^(-5) is 3^4, which is equal to 81.