Question

10-1 is equal to
(a) 10
(b)-1
(c) 1/10
(d) -110​

Answer 1

Answer:

1/10

Step-by-step explanation:

$10^{-1}$ = $\frac{1}{10}$

Answer 2

Given :  10⁻¹

To Find : Equivalent

(a)  10

(b)  -1

(c)  1/10

(d)  -1/10​

Solution:

Law of exponent

${{\text{a}}^{n}}\times {{a}^{-n}}=1\text{ or }{{\text{a}}^{n}}=\frac{1}{{{a}^{n}}} \\ & {{a}^{m}}\times {{a}^{n}}={{a}^{m+n}} \\ & \frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}} \\ & {{\left( {{a}^{m}} \right)}^{n}}={{\left( {{a}^{n}} \right)}^{m}}={{a}^{mn}} \\ & {{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}} \\ & \frac{{{a}^{n}}}{{{b}^{n}}}={{\left( \frac{a}{b} \right)}^{n}} \\ & {{a}^{0}}=1$

10⁻¹

a⁻¹ = 1/a

= 1/10¹

a¹ = a

= 1/10

Hence 10⁻¹ = 1/10

Correct option is c)

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