Steply

Calculate 10^-2

Step by step, with the reason for every step · Powers, square roots, absolute value · Foundations

Step by step

The question

Question: work out 10⁻².

10−2

1 Work out the power

A minus in the power means 1 over.

So 10⁻² is 1/10².

= 1102

10² means 10 times 10.

102 = 10 × 10 = 100

10² is 100.

So we get 1 over that: 1/100.

= 1100

Can we make it simpler?

No number goes into both 1 and 100, except 1.

So it stays like this.

simplest ✓

So the answer is 1/100.

Answer
= 1100

Your turn

Try this one yourself, then check:

Work out 8−2
Show the answer
164

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