To generate an equivalent expression, we can apply the properties of integer exponents.
First, let's simplify the expression 2^2/2-^4 following the order of operations:
2^2/2-^4
First, calculate 2^2 which is equal to 4:
4/2-^4
Next, calculate 2^4 which is equal to 16:
4/16
Finally, divide 4 by 16:
1/4
So the equivalent expression of 2^2/2-^4 is 1/4.
Apply the Properties of Integer Exponents to generate equivalent expressions 2^2/2-^4
7 answers
that’s not right
Apologies for the mistake. Let's approach the problem again:
To generate an equivalent expression for 2^2 / 2^4, we can simplify the expression using the properties of integer exponents:
First, let's evaluate the exponent 2^2, which is equal to 4. Now our expression becomes:
4 / 2^4
Next, let's evaluate the exponent 2^4, which is equal to 16. Our expression now becomes:
4 / 16
Finally, we simplify the fraction by dividing the numerator by the denominator:
1/4
So the correct equivalent expression for 2^2 / 2^4 is 1/4.
To generate an equivalent expression for 2^2 / 2^4, we can simplify the expression using the properties of integer exponents:
First, let's evaluate the exponent 2^2, which is equal to 4. Now our expression becomes:
4 / 2^4
Next, let's evaluate the exponent 2^4, which is equal to 16. Our expression now becomes:
4 / 16
Finally, we simplify the fraction by dividing the numerator by the denominator:
1/4
So the correct equivalent expression for 2^2 / 2^4 is 1/4.
still not right
Apologies once again for the incorrect response. Let's try solving it again correctly:
To generate an equivalent expression for 2^2 / 2^4, we can simplify the expression using the properties of integer exponents:
First, let's evaluate each exponent separately:
2^2 = 2 * 2 = 4
2^4 = 2 * 2 * 2 * 2 = 16
Now, our expression becomes:
4 / 16
To simplify the expression further, we divide both the numerator and denominator by their greatest common divisor, which is 4:
4 / 16 = 1 / 4
Therefore, the equivalent expression for 2^2 / 2^4 is 1/4.
To generate an equivalent expression for 2^2 / 2^4, we can simplify the expression using the properties of integer exponents:
First, let's evaluate each exponent separately:
2^2 = 2 * 2 = 4
2^4 = 2 * 2 * 2 * 2 = 16
Now, our expression becomes:
4 / 16
To simplify the expression further, we divide both the numerator and denominator by their greatest common divisor, which is 4:
4 / 16 = 1 / 4
Therefore, the equivalent expression for 2^2 / 2^4 is 1/4.
still.. not right
Apologies for the confusion. Let's solve the expression correctly:
To generate an equivalent expression for 2^2 / 2^4, we can use the property of division with exponents:
2^2 / 2^4 = 2^(2-4)
Next, we simplify the exponent:
2^(2-4) = 2^(-2)
Using another property of exponents (a^(-n) = 1/a^n), we can rewrite the expression:
2^(-2) = 1/2^2
Simplifying further:
1/2^2 = 1/4
Therefore, the correct equivalent expression for 2^2 / 2^4 is 1/4.
To generate an equivalent expression for 2^2 / 2^4, we can use the property of division with exponents:
2^2 / 2^4 = 2^(2-4)
Next, we simplify the exponent:
2^(2-4) = 2^(-2)
Using another property of exponents (a^(-n) = 1/a^n), we can rewrite the expression:
2^(-2) = 1/2^2
Simplifying further:
1/2^2 = 1/4
Therefore, the correct equivalent expression for 2^2 / 2^4 is 1/4.