Question
Simplify the following: $\frac{6(8)^{\text{n}+1}+16(2)^{3\text{n}-2}}{10(2)^{3\text{n}+1}-7(8)^\text{n}}$
✓
Answer
$\frac{(6\times8^{\text{n}+1})+(16\times2^{3\text{n}-2})^{}}{(10\times2^{3\text{n}+1})-7\times(8)^{\text{n}}}$ $=\frac{(6\times8^\text{n}\times8)+(16\times8^\text{n}\times\frac{1}{4})}{(10\times8^\text{n}\times2)-7\times(8)^\text{n}}$ $=\frac{8^\text{n}(48+4)}{8^\text{n}(20-7)}$ $=\frac{52}{13}=4$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Evaluate:
$48^3-30^3-18^3$
→$48^3-30^3-18^3$
Factorize:
$2{x^2} + {y^2} + 8{z^2} - 2\sqrt 2 xy + 4\sqrt 2 yz - 8xz$
→$2{x^2} + {y^2} + 8{z^2} - 2\sqrt 2 xy + 4\sqrt 2 yz - 8xz$
Define the following terms: Angle.
Factorise:
$7\text{x}^2+2\sqrt{14}\text{x}+2$
→$7\text{x}^2+2\sqrt{14}\text{x}+2$
Define the following terms: Complementary angles.
Rewrite the following polynomial in standard form.
$x-2 x^2+8+5 x^3$
→$x-2 x^2+8+5 x^3$
Find a rational number between $-\frac{3}{4}$ and $-\frac{2}{5}$
→Show that $0.2353535... = 0. 2\overline{35}$, can be expressed in the form $\frac{p}{q}$, where $p$ and $q$ are integers and q $\ne 0.$
→Express the following rational numbers as decimals: $\frac{2}{3}$
→$A B$ is a line segment. $P$ and $Q$ are points on opposite sides of $A B$ such that each of them is equidistant from the points $A$ and $B$ (See Figure). Show that the line $P Q$ is the perpendicular bisector of $A B$.
→