Use the Product Rule of Exponents to simplify the expression 2(4 )⋅2(2)
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According to the Product Rule of Exponents, when multiplying two exponential expressions with the same base, we add the exponents.
Therefore, 2(4) ⋅ 2(2) can be simplified as 2^(4+2) which is equal to 2^6.
So, 2(4) ⋅ 2(2) simplifies to 2^6.
Use the Product Rule of Exponents to simplify the expression 38 ⋅33
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The product rule of exponents states that when multiplying two exponential expressions with the same base, you can add the exponents.
In this case, we have 3^8 ⋅ 3^3.
Using the product rule, we add the exponents: 8 + 3 = 11.
Therefore, 3^8 ⋅ 3^3 simplifies to 3^11.
Use the Product Rule of Exponents to simplify the expression 75 ⋅72
The product rule of exponents states that when multiplying two exponential expressions with the same base, you can add the exponents.
In this case, we have 7^5 ⋅ 7^2.
Using the product rule, we add the exponents: 5 + 2 = 7.
Therefore, 7^5 ⋅ 7^2 simplifies to 7^7.
Find the numerical equivalent of 72⋅73
To find the numerical equivalent of 72⋅73, we simply multiply the two numbers together:
72⋅73 = 5256
Find the numerical equivalent of 7(2)⋅7(3)
To find the numerical equivalent of 7(2)⋅7(3), we use the product rule of exponents, which states that when multiplying two exponential expressions with the same base, we add the exponents.
In this case, we have 7(2)⋅7(3) = 7^(2+3) = 7^5.
Therefore, the numerical equivalent of 7(2)⋅7(3) is 7^5, which is equal to 16807.
Find the numerical equivalent of 39⋅3−5
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To find the numerical equivalent of 39⋅3^(-5), we need to evaluate or simplify the expression.
Remember that a negative exponent means that the base is in the denominator of a fraction.
In this case, 3^(-5) = 1/3^5 = 1/243.
So, 39⋅3^(-5) simplifies to 39*(1/243).
To multiply fractions, we multiply the numerators together and the denominators together.
39*(1/243) = (39*1)/(1*243) = 39/243.
The numerical equivalent of 39⋅3^(-5) is 39/243, which cannot be simplified further.