In a repeater machine with 0 as an exponent, the base machine is … - Vidyadip

Question

In a repeater machine with $0$ as an exponent, the base machine is applied $0$ times.
$a.$ What do these machines do to a piece of chalk?

$b.$ What do you think the value of $60$ is? You have seen that a hookup of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression.

✓

Answer

$a.$ Since, $3^\circ = 1, 13^\circ = 1, 29^\circ = 1$
Using law of exponents, $a^\circ = 1$ $[\because$ a is non$-$zero integer$]$
So, machine $(x3^\circ ), (x13^\circ )$ and $(x29^\circ )$ produce nothing on not change the piece $7$ chalk.
$b.$ Using the law of exponent $a^\circ = 1$ $[\because$ a is non$-$zero integer$]$
Similarly, $(x\ 6^\circ )$ machine does not change the piece.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Exponents and Powers→Exponents and Powers — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

If $34\%$ of a number is $85,$ find the number.

What must be added to following expressions to make it a whole square?
$4x^2- 12x + 7$

Which of the two rational numbers is greater in the given pair$? \frac{-12}{5}\ \text{or}\ -3$

Find three numbers in the ratio $2 : 3 : 5$, the sum of whose squares is $608.$

Madhu's room measures $6\text{ m} \times 3\text{ m}.$ Her carpet cover is $8\text{ m}^2.$ What per cent of floor is covered by the carpet?

In how many years will $Rs. 6250$ amount to $Rs. 7290$ at $8\%$ per annum, compounded annually$?$

Manjit bought an iron safe for $Rs. 12160$ and paid $Rs. 340$ for its transportation. Then, he sold it for $Rs. 12875.$ Find his gain percent.

Twenty-one cylindrical pillars of the Parliament House are to be cleaned. If the diameter of each pillar is $0.50\ m$ and height is $4\ m,$ what will be the cost of cleaning them at the rate of $Rs 2.50$ per square meter$?$

The squares of which of the following would be odd numbers?
(i) 431 $\quad$ (ii) 2826 $\quad$ (iii) 7779 $\quad$ (iv) 82004

Write the quotient and remainder when we divide: $\left(8 x^4+10 x^3-5 x^2-4 x+1\right)$ by $\left(2 x^2+x-1\right)$