Question

QUIZ #323

1. 4⁵ - 5⁴ = ...
2. 5⁴ - 4⁵ = ...
3. 5⁵ - 4⁴ = ...
​

Answer 1

4⁵ - 5⁴

( 4 × 4 × 4 × 4 × 4 ) - ( 5 × 5 × 5 × 5 )

( 16 × 16 × 4 ) - ( 25 × 25 )

( 256 × 4 ) - 625

1.024 - 625

399

____________________

5⁴ - 4⁵

( 5² × 5² ) - ( 4² × 4² × 4 )

( 25 × 25 ) - ( 16 × 16 × 4 )

625 - ( 256 × 4 )

625 - 1.024

-399

____________________

5⁵ - 4⁴

( 5² × 5² × 5 ) - ( 4² × 4² )

( 25 × 25 × 5 ) - ( 16 × 16 )

( 625 × 5 ) - 256

3.125 - 256

2.869

Answer 2

Jawaban:

• 4⁵ - 5⁴ =

(4 × 4 × 4 × 4 × 4) - (5 × 5 × 5 × 5) =

(16 × 16 × 4) - (25 × 25) =

(256 × 4) - 625 =

1.024 - 625 =

.

.

1.024

625

______(-)

399

4⁵ - 5⁴ = 399

.

.

• 5⁴ - 4⁵ =

(5 × 5 × 5 × 5 × ) - (4 × 4 × 4 × 4 × 4) =

(25 × 25 × ) - (16 × 16 × 4) =

625 - (256 × 4) =

625 - 1.024 =

.

.

625

1.024

______(-)

-399

5⁴ - 4⁵ = -339

.

.

• 5⁵ - 4⁴ =

(5 × 5 × 5 × 5 × 5) - (4 × 4 × 4 × 4) =

(25 × 25 × 5) - (16 × 16) =

(625 × 5) - 256 =

3.125 - 256 =

.

.

3.125

256

______(-)

2.869

5⁵ - 4⁴ = 2.869