Apply the Property of Negative Integer Exponents to solve 7−3. The answer should not contain any exponent expression or decimals.(1 point)
7−3=
To apply the Property of Negative Integer Exponents, we can rewrite 7^-3 as 1/7^3. So, 7^-3 = 1/7^3 = 1/343.
answer?
The answer is 1/343.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only.(1 point)
3−178−14=
To apply the Property of Negative Integer Exponents, we can rewrite 3^-17 as 1/3^17 and 8^-14 as 1/8^14. So, 3^-17 * 8^-14 = 1/3^17 * 1/8^14.
To apply the property of negative integer exponents, we can rewrite the expression as 1/(7^3) since any negative exponent can be expressed as the reciprocal of the positive exponent.
Therefore, 7^(-3) = 1/(7^3).
Next, let's simplify the expression:
1/(7^3) = 1/(7 × 7 × 7) = 1/343.
So, 7^(-3) = 1/343.
To solve 7^-3 using the property of negative integer exponents, we can rewrite it as:
1 / (7^3)
The property states that a negative exponent is equivalent to taking the reciprocal of the base raised to the positive exponent.
Now, we can simplify the expression:
1 / (7^3) = 1 / (7 * 7 * 7) = 1 / 343
Therefore, the solution to 7^-3 is 1/343.