use the product rule of exponents to simplify the expression 2^4 2^2
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To simplify the expression 2^4 * 2^2 using the product rule of exponents, we add the exponents together because the bases are the same (which is 2).
2^4 * 2^2 = 2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
find the numerical equivalent of 7^2 7^3
To find the numerical equivalent of 7^2 * 7^3, we again use the product rule of exponents and add the exponents together since the bases are the same (which is 7).
7^2 * 7^3 = 7^(2+3) = 7^5
To find the numerical value of 7^5, we multiply 7 by itself 5 times:
7 * 7 * 7 * 7 * 7 = 16807
Therefore, the numerical equivalent of 7^2 * 7^3 is 16807.
To simplify the expression 2^4 * 2^2 using the product rule of exponents, you need to add the exponents together because you are multiplying two numbers with the same base:
2^4 * 2^2 = 2^(4+2)
Adding the exponents together, you get:
2^(6)
So, the simplified expression is 2^(6), which is equal to 64.