Find the numerical equivalent of 2^5 ⋅2^−2(1 point)
Responses
128
128
16
16
2
2
8
To find the numerical equivalent of 2^5 ⋅ 2^(-2), we can simplify it as follows:
2^5 ⋅ 2^(-2) = 2^(5 + (-2)) = 2^3
Therefore, the numerical equivalent is 8.
Find the numerical equivalent of 49⋅4−7(1 point)
Responses
16
16
416
4 superscript 16 baseline
4
4
42
4 squared
To find the numerical equivalent of 49⋅4−7, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
49⋅4−7 = (49⋅4)−7 = 196−7 = 189
Therefore, the numerical equivalent is 189.
Find the numerical equivalent of 4^9⋅4^−7(1 point)
Responses
16
16
4^16
4 superscript 16 baseline
4
4
4^2
To find the numerical equivalent of 4^9⋅4^(-7), we can simplify it as follows:
4^9⋅4^(-7) = 4^(9 + (-7)) = 4^2
Therefore, the numerical equivalent is 4^2, which is equal to 16.
8
Why did the scarecrow win an award?
Because he was outstanding in his field!
To find the numerical equivalent of 2^5 ⋅ 2^−2, we can simplify the expression first.
The rule of exponents states that when multiplying two numbers with the same base, you can add the exponents. Therefore, 2^5 ⋅ 2^−2 can be simplified to 2^(5 + -2).
Adding the exponents, we get 2^3.
The rule of exponents also states that when a number is raised to a negative exponent, it can be rewritten as the reciprocal of the number raised to the positive exponent. Therefore, 2^−2 can be rewritten as 1/(2^2).
Substituting this into our simplified expression, we have 2^3 ⋅ 1/(2^2).
Next, we apply the rule of exponents again. When dividing two numbers with the same base, you can subtract the exponents. Therefore, 2^3 ⋅ 1/(2^2) can be written as 2^(3-2).
Subtracting the exponents, we get 2^1.
Finally, 2^1 is equal to 2.
Therefore, the numerical equivalent of 2^5 ⋅ 2^−2 is 2.