Question

(-2a^6b^3)^3/(5a^8b^4)^2 при a=7/5 , b=-3/25​

Answer 1

Ответ:

Объяснение:

(-2a^6b³)² / (5a^8b^4)²=-8a^18b^9/25a^16b^8 =-8/25a²b

-8/25a²b    pri a=7/5  ,b=-3/25

-8/25*(7/5)²*(-3/25)=24/625*49/25=1176/15625

Answer 2

Объяснение:

((-2a^6 b^3)^3)/(5a^8 b^4)^2=(-8a^18 b^9)/(25a^16 b^8)=-8/25 •a^2 b=-8/25 •(7/5)^2 •(-3/25)=24•49/25^3=1176/15625

Answer 3

To evaluate the expression (-2a^6b^3)^3/(5a^8b^4)^2 with the given values a = 7/5 and b = -3/25, let's substitute these values into the expression and simplify it step by step.

Substituting the values of a and b:

=(-2(7/5)^6(-3/25)^3)^3/(5(7/5)^8(-3/25)^4)^2

Simplifying the exponents:

=(-2(7^6/5^6)(-3^3/25^3))^3/(5(7^8/5^8)(-3^4/25^4))^2

=(-2(117649/15625)(-27/15625))^3/(5(5764801/390625)(81/390625))^2

Now, let's simplify the numerators and denominators separately:

Numerator:

=(-2(117649)(-27))^3 =(-2)(117649)(-27))^3 =(-2)(-3176523))^3 =(-2)(-295245075387)^3 =-2152526491879^3

Denominator:

=(5(5764801)(81))^2 =(5)(5764801)(81))^2 =(5)(466516961)^2 =(5)(217678233619441) =1088391168097205

Finally, we can substitute the simplified values back into the expression:

=(-2152526491879^3)/(1088391168097205)

Now, we can calculate the final result using a calculator or math software:

≈ -1.74643 × 10^29 / 1.08839 × 10^15 ≈ -1.6048 × 10^14