Question

simplify (8/27)^-2/3-(1/3)^-2-7^0

Answer 1

heya...

Here is your answer...

(8/7)^-2/3 - (1/3)^-2 - 7^0

(27/8)^2/3 - 3^2 - 1

(3^3/2^3)^2/3 - 9-1

(3/2)^3×2/3 - 10

(3/2)^2-10

9/4-10

9-40/4

-31/4

It may help you... ☺☺

Answer 2

Answer:

$\huge{\boxed{7\frac{3}{4}}}$

Step-by-step explanation:

(8/27)^(- 2/3) - ( 1/3 )^(-2) - 7^(0)

⇒ ( 2/3 )^(- 3 × 2/3 ) - 3^2 - 1

⇒ ( 2/3 )^( -2 ) - 9 - 1

⇒ 9/4 - 10

⇒ ( 9 - 40 )/4

⇒ - 31/4

The answer is -31/4 converted to mixed fraction.

FORMULAS :

a^0 = 1

a^b/a^m = a^( b - m )