Find the numerical equivalent of 2 ^ 5 * 2 ^ - 2 (1 point) 128 0 2 16
To find the numerical equivalent of 2 ^ 5 * 2 ^ -2, we can simplify the expression.
Using the rule of exponents, when we multiply two numbers with the same base, we add the exponents. Therefore, 2^5 * 2^-2 is equal to 2^(5 + -2) = 2^3.
2^3 is equal to 2 * 2 * 2 = 8.
Therefore, the numerical equivalent of 2 ^ 5 * 2 ^ -2 is 8.
To find the numerical equivalent of the expression 2^5 * 2^(-2), you can use the exponent rule that states a^m * a^n = a^(m+n).
Let's simplify the expression step-by-step:
1. First, simplify the exponents:
2^5 = 2 * 2 * 2 * 2 * 2 = 32
2^(-2) = 1/(2^2) = 1/4 = 0.25
2. Now, substitute the values:
32 * 0.25 = 8
Therefore, the numerical equivalent of 2^5 * 2^(-2) is 8.
To find the numerical equivalent of the expression 2^5 * 2^(-2), we can simplify it by using the properties of exponents.
First, let's recall the rule: When multiplying terms with the same base, you add their exponents.
So, in this case, we have 2^5 multiplied by 2^(-2). Adding the exponents gives us 2^(5+(-2)).
Simplifying further, 5 + (-2) equals 3. Therefore, the expression 2^5 * 2^(-2) simplifies to 2^3.
Now, the rule for evaluating an exponent is to raise the base to the power of the exponent.
Thus, 2^3 equals 2 * 2 * 2, which is 8.
Therefore, the numerical equivalent of 2^5 * 2^(-2) is 8.
So, the answer is: 8.