Question

Express the following numbers in power notation-343000,1024,216

Answer 1

Answer:

$343000=70^3$

$1024=2^{10}$

$216=6^3$

Step-by-step explanation:

To find : Express the following numbers in power notation- 343000,1024,216 ?

Solution :

Power notation is writing number into power.

To determine the power we factor each number.

1) $343000=2\times 2 \times2 \times5\times5\times5\times7\times 7\times7$

$343000=2^3\times5^3\times7^3$

$343000=(2\times5\times7)^3$

$343000=(70)^3$

2) $1024=2\times 2 \times2 \times2\times 2 \times2\times2\times 2 \times2\times 2$

$1024=2^{10}$

3) $216=2\times 2 \times2 \times3\times3\times3$

$216=2^{3}\times 3^3$

$216=(2\times 3)^3$

$216=(6)^3$

Answer 2

(i) 343000 = (70)³

(ii) 1024 = $2^{10}$

(iii) 216 = 6³

Step-by-step explanation:

(i) The number 343000 can be written as

343000 = 343 × 1000 = 7³ × 10³ = (70)³

(ii) The number 1024 can also be written as

1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = $2^{10}$

(iii) The number 1024 can also be written as

216 = 27 × 8 = 3³ × 2³ = 6³.

(Answer)