Use the product rule of exponents to simplify the expression 2^4 • 2^2

9 answers

To simplify the expression 2^4 • 2^2 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 2^4 • 2^2 = 2^(4+2)
= 2^6

Therefore, the expression is simplified to 2^6.
Use the product rule of exponents to simplify the expression 3^8 • 3^3
To simplify the expression 3^8 • 3^3 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 3^8 • 3^3 = 3^(8+3)
= 3^11

Therefore, the expression is simplified to 3^11.
Use the product rule of exponents to simplify the expression 7^5 • 7^2
To simplify the expression 7^5 • 7^2 using the product rule of exponents, we add the exponents when multiplying like bases.

So, 7^5 • 7^2 = 7^(5+2)
= 7^7

Therefore, the expression is simplified to 7^7.
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 and add the exponents when multiplying like bases.

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 16,807.
Find the numerical equivalent of 3^9 • 3^-5
To find the numerical equivalent of 3^9 • 3^-5, we use the product rule of exponents and add the exponents when multiplying like bases.

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.
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