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Which expression is equivalent to 2. 3 raised to the fifth power divided by 0. 9 raised to the fourth power, all raised to the third power?.

Sagot :

The equivalent expression is 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power.

What analogous expressions are there?

Expressions that perform the same operations but differ in appearance are said to be equivalent.

There is the phrase;

{ (2. 3)^5/ (0. 9)^4 }^3

multiply by the denominator's inverse power.

(2. 3^5 × 0. 9^-4)^3

broaden the bracket

2.3 × 0. 9 ^5 +(-4) (-4)

{2.3 × 0. 9 ^ 1}^3

The phrase can be written as follows:

{ (2. 3)^5× 3/ (0. 9)^4× 3}

{ (2. 3)^15/ (0. 9)^4 }^12

Thus, 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power is the equivalent formula.

Learn more about equivalent expressions here:

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