Question

6. Write the following numbers as a power of 5.
(i) 5
(ii) 25
(iii) 125
(iv) 625
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Answer 1

Answer:

I) 5¹, ii) 5², iii) 5³, iv) 5⁴

Answer 2

The following numbers is written as the powers of 5 as:

(i) $5=5^{1}$

(ii) $25=5^{2}$

(iii) $125=5^{3}$

(iv) $625=5^{4}$

Step-by-step Explanation

Given: Four numbers, (i) 5, (ii) 25, (iii0 125, (iv) 625

To be found: To write the given numbers as powers of 5.

Solution:

(i) The first number, 5 on factoring gives $5=1 \times 5$

Hence, by writing the given number as a power of 5, we get

$5=5^{1}$   (Since there is only one 5 upon factoring, the exponent is 1)

(ii) The second number, 25 on factoring gives $5=1 \times 5 \times 5$

Hence, by writing the given number as a power of 5, we get

$25=5^{2}$   (Since there are two 5's upon factoring, the exponent is 2)

(iii) The third number, 125 on factoring gives $5=1 \times 5 \times 5 \times 5$

Hence, by writing the given number as a power of 5, we get

$125=5^{3}$   (Since there are three 5's upon factoring, the exponent is 3)

(iv) The first number, 625 on factoring gives $5=1 \times 5 \times 5 \times 5 \times 5$

Hence, by writing the given number as a power of 5, we get

$625=5^{4}$   (Since there are four 5's upon factoring, the exponent is 4)

#SPJ3