To calculate this expression, we first simplify the exponent terms using the properties of exponents.
(3/4)^3.7 = (3/4)^3 * (3/4)^0.7(3/4)^-0.7 = 1 / (3/4)^0.7
Now, we can calculate each part separately:
(3/4)^3 = (27/64)(3/4)^0.7 ≈ 0.5739 (approximated)
Therefore, the final calculation would be:
(27/64) * 0.5739 ≈ 0.2456
So, (3/4)^3.7 * (3/4)^-0.7 ≈ 0.2456
To calculate this expression, we first simplify the exponent terms using the properties of exponents.
(3/4)^3.7 = (3/4)^3 * (3/4)^0.7
(3/4)^-0.7 = 1 / (3/4)^0.7
Now, we can calculate each part separately:
(3/4)^3 = (27/64)
(3/4)^0.7 ≈ 0.5739 (approximated)
Therefore, the final calculation would be:
(27/64) * 0.5739 ≈ 0.2456
So, (3/4)^3.7 * (3/4)^-0.7 ≈ 0.2456