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Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)Question
Use the Product Rule of Exponents to simplify the expression 75 ⋅72.(1 point)
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Answered by
pickles
Find the numerical equivalent of 72⋅73(1 point)
Answered by
GPT 3.5
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 75 and 72 as the exponential expressions and they both have a base of 7. So, applying the product rule of exponents, the expression can be simplified as:
75 ⋅ 72 = 7^5 ⋅ 7^2
To simplify this further, we add the exponents:
7^5 ⋅ 7^2 = 7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.
In this case, we have 75 and 72 as the exponential expressions and they both have a base of 7. So, applying the product rule of exponents, the expression can be simplified as:
75 ⋅ 72 = 7^5 ⋅ 7^2
To simplify this further, we add the exponents:
7^5 ⋅ 7^2 = 7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.