Question

20^1/20^-3 use exponents to solve this

Answer 1

Step-by-step explanation:

20^1/20^-3

there are two methods-

1. we can bring 20^3 to numerator as exponent is negative.

so, 20^1×20^3 by using property [x^a×x^b=x^a+b]

20^1+3=20^4

OR

2. we can directly solve this using property

[x^a÷x^b=x^a-b]

So, 20^1÷20^3=20^1-(-3)

=20^1+3=20^4

Answer 2

Given:

$\frac{20^{1} }{20^{-3} }$

To find,

The value of  $\frac{20^{1} }{20^{-3} }$

Solution,

According to the exponential rules, we know that  ${b^{-n} } = \frac{1}{b^{n}}$

In this case,

Numerator: $20^{1}$

Denominator: $20^{-3}$

Here, $20^{-3}$ would be converted to $20^{3}$ and becomes part of the numerator using the exponential rule.

i.e.  $20^{1}$  * $20^{3}$  equals 20 * 8000 = 1,60,000.

Thus, the answer for $\frac{20^{1} }{20^{-3} }$

=   $20^{1}$  * $20^{3}$

= 20 * 8000

= 1,60,000

Hence, the answer will be 1,60,000