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3 years ago

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Step-by-step explanation:

Simplify the following:

(((-3)/4)^5)^2

Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):

((-3)/4)^(5×2)

5×2 = 10:

((-3)/4)^10

((-3)/4)^10 = (-3)^10/4^10:

(-3)^10/4^10

(-3)^10 = (-1)^10×3^10 = 1×3^10:

3^10/4^10

4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:

3^10/(4 (4^2)^2)^2

4^2 = 16:

3^10/(4×16^2)^2

3^10/(4×256)^2

4×256 = 1024:

3^10/1024^2

3^10/1048576

Answer=3^10 / 2^20

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$\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}$

<h3>Step-by-step explanation:</h3>

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

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<h3>Hence the area of the shaded region is 264 cm².</h3>

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