Question

(1/27×125^-1)^-1/3+3/4-(2/3)^-1 Решение

Answer 1

(1/27×125⁻¹)⁻¹/³+3/4-(2/3)⁻¹=(27⁻¹×125⁻¹)⁻¹/³+3/4-(2/3)⁻¹=27¹/³×125¹/³ +3/4-3/2=

= ∛3³ ×∛5³ -3/4 =3*5-3/4=14 1/4

Answer 2

I can help you solve this math problem. Here are the steps:

- First, we need to simplify the expression inside the parentheses. We can use the exponent rule that says (a^b)^c = a^(b*c) to rewrite the expression as (1/27×125^-1)^-1/3 = (1/27)^-1/3 × (125^-1)^-1/3 = 27^1/3 × 125^1/3 = 3 × 5 = 15. - Next, we need to simplify the expression with the negative exponent. We can use the exponent rule that says a^-b = 1/a^b to rewrite the expression as (2/3)^-1 = 1/(2/3) = 3/2. - Then, we need to perform the addition and subtraction operations. We can use the common denominator of 4 to rewrite the fractions as 15 + 3/4 - 3/2 = 60/4 + 3/4 - 6/4 = 57/4 - 6/4 = 51/4. - Finally, we need to simplify the fraction by dividing the numerator and denominator by the greatest common factor, which is 3. We get 51/4 = 17/4.

Therefore, the answer is 17/4. You can check your answer using a math equation solver like [this one](https://www.calculatorsoup.com/calculators/math/math-equation-solver.php). You can also learn more about the order of operations and the exponent rules from [this website](https://www.mathway.com/Calculator/simplify-calculator) or [this website](https://www.chegg.com/math-solver/fraction-calculator). I hope this helps.