Algebraic Roots & Indices (Cambridge (CIE) IGCSE International Maths: Core): Exam Questions

i) $2^8\times 2^m=2^6$ 

Work out the value of $m$.

$m$ = ................................................. [1]

ii) $5^n÷5^4=5^6$ Work out the value of $n$.

$n$ = ................................................. [1]

Simplify.

$5\times x^0$

[1]

Simplify $2x^3\times 3x^2$

Simplify.

$5m^2\times 2m^3$

(i) Find the value of $k$ when $x^{10}÷x^k=x^3$.

$k=$....................... [1]

(ii) Find the value of $n$ when $y^{10}\times y^n=1$.

$n=$......................... [1]

Find the value of $x$.

$p^x\times p^5=p^9$

Find the value of $y$.

$\frac{q^{12}}{q^y}=q^7$

Simplify.

$4p^5{q}^3\times p^2{q}^{-4}$

Simplify $8t^8÷4t^4.$

Simplify  $x^3{y}^4\times x^5{y}^3$

Simplify

$w^7÷w^{-2}$

$4^w=\frac{1}{16}$

Find the value of $w$.

$w=$ ...............................