Question

Hey anybody can answer this question ​

Answer 1

Answer:

✭ 1280/3

Step-by-step explanation:

Here in this question, we will simply expand the given exponential expression and then we will multiply them get our final answer.

➛ ( 4⁶ × 9² × 25² )/( 3² × 4² × 15³ )

We will expand, 4 - 6 times, 9 - 2 times, 25 - 2 times in the numerator 3 - 2 times 4 - 2 times and 15 - 3 times in the denominator respectively. Thus, according to the exponent, we will expand the following real number.

➛ ( 4⁶ × 9² × 25² )/( 3² × 4² × 15³ )

➛ ( 4⁶ × 9 × 9 × 25 × 25 )/( 3² × 4² × 15³ )

Now, If a number multiplied by itself the product obtained is called the square of that number. We know that the square of 3 is nothing but 9 ( 3 × 3 = 3² = 9 ), so we can write it as,

➛ ( 4⁶ × 3 × 3 × 3 × 3 × 25 × 25 )/( 3² × 4² × 15³ )

Expressing it in its exponential form,

➛ ( 4⁶ × 3⁴ × 25 × 25 )/( 3² × 4² × 15³ )

Doing further more calculations using exponential properties, we have:

➛ ( 4⁶ × 3⁴ × 5 × 5 × 5 × 5 )/( 3 × 3 × 4² × 3 × 5 × 3 × 5 × 3 × 5 )

Arranging...

➛ ( 4⁶ × 3⁴ × 5⁴ )/( 3 × 3 × 3 × 3 × 3 × 4² × 5 × 5 × 5 )

Raising to their exponential powers in denominator, we have:

➛ ( 4⁶ × 3⁴ × 5⁴ )/( 3⁵ × 4² × 5³ )

By using quotient law, ( Laws of exponents for integral powers ), we have:

➛ ( 4⁶⁻² × 5⁴⁻³ )/( 3⁵⁻⁴ )

➛ ( 4⁴ × 5 )/3

Now, expand 4 four times,

➛ ( 4 × 4 × 4 × 4 × 5 )/3

➛ ( 256 × 5 )/3

➛ 1280/3 Ans.

____________________________

Answer 2

Answer:

3

2

×4

2

×15

3

4

6

×9

2

×25

2

=

3

2

×3

3

×5

3

×4

2

4

6

×3

4

×5

4

=4

6−2

×3

4−5

×5

4−3

=4

4

×3

−1

×5=

3

1280

=426.66

Step-by-step explanation:

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