Last updated on Sep 21, 2026

Indices (Junior Cert Mathematics): Quizzes

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When multiplying powers with the same base, what do you do with the exponents?

Add them

When dividing powers with the same base, what do you do with the exponents?

Subtract them

When raising a power to another power, what do you do with the exponents?

Multiply them

What is $2^3 \times 2^4$ simplified?

$2^7$

What is $\frac{5^6}{5^2}$ simplified?

$5^4$

What is $(3^2)^3$ simplified?

$3^6$

What is the value of $x$ in $4^x = 64$ ?

$3$

What is the value of $x$ in $2^{x+1} = 16$ ?

$3$

Which law of indices applies to $7^5 \times 7^3$ ?

First law (add exponents)

Which law of indices applies to $\frac{8^9}{8^4}$ ?

Second law (subtract exponents)

What is $64$ expressed as a power of $4$ ?

$4^3$

If $a^m = a^n$ , what can you conclude about $m$ and $n$ ?

$m = n$

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