Question

Хееееееелп (3/4)^3,7×(3/4)^-0,7

Answer 1

$( { \frac{3}{4} })^{3.7} \times ( { \frac{3}{4} })^{ - 0.7} = ( { \frac{3}{4} })^{3.7 + ( - 0.7)} = ({ \frac{3}{4} })^{3} = \frac{27}{64}$

Answer 2

Sure, I can help you with that!

To solve the expression (3/4)^3.7 × (3/4)^-0.7, we need to combine the exponents of the same base (3/4). When you multiply numbers with the same base raised to different exponents, you can simply add the exponents. The rule is:

a^m × a^n = a^(m + n)

So, let's apply this rule to the given expression:

(3/4)^3.7 × (3/4)^-0.7

Now, we can add the exponents:

3.7 + (-0.7) = 3

The expression becomes:

(3/4)^3

Now, let's calculate the value:

(3/4)^3 = (3^3) / (4^3) = 27 / 64 ≈ 0.421875

So, the final result is approximately 0.421875.