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India
Class VII

Mixed expressions using index laws

Interactive practice questions

Simplify the following expressions where possible.

If a given expression is already fully simplified, then enter it as your answer.

a

$a^s\times a^t$as×at

b

$\frac{a^s}{a^t}$asat

c

$a^s\times a^s$as×as

d

$a^s+a^s$as+as

e

$a^s+a^t$as+at

Easy
4min

Simplify $p^7\div p^3\times p^5$p7÷​p3×p5.

Easy
< 1min

Simplify $p^{14}\div p^6\div p^5$p14÷​p6÷​p5.

Easy
< 1min

Simplify the following, giving your answer with a positive index: $\frac{4n^3\times4n^4}{16}$4n3×4n416

Easy
< 1min
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Outcomes

7.NS.P.2

Laws of exponents (through observing patterns to arrive at generalisation.) (i) a^m .a^n = a^(m+n) (ii) (a^m)^n = a^mn (iii) a^m / a^n = a^ (m-n) where m - n a member of N

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