Question
Simplify:$(1296)^\frac{1}{4}\times(1296)^\frac{1}{2}$
✓
Answer
$(1296)^\frac{1}{4}\times(1296)^\frac{1}{2}$$=(6^4)^\frac{1}{4}\times(6^4)^\frac{1}{2}$
$=6^{4\times\frac{1}{4}}\times6^{4\times\frac{1}{2}}$
$=6\times6^2$
$=6\times36$
$=216$
$=6^{4\times\frac{1}{4}}\times6^{4\times\frac{1}{2}}$
$=6\times6^2$
$=6\times36$
$=216$
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
If the angles (2x - 10)° and (x - 5)° are complementary angles, find x.
If the supplement of an angle is two-third of itself. Determine the angle and its supplement.
Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type. : $\frac{17}{125}$
→Convert the following ratios into percentages : $\frac{5}{16}$
→In the adjoining figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ∆ABD ≅ ∆CBD.
Total surface area of a cone is 616 sq.cm. If the slant ‘height of the cone Is three times the radius of its base, find its slant height.
Given: Total surface area of a cone = 616 sq.cm., slant height of the cone is three times the radius of its base
To find: Slant height (l)
Given: Total surface area of a cone = 616 sq.cm., slant height of the cone is three times the radius of its base
To find: Slant height (l)
Write the number of surfaces of a right circular cylinder.
In the given figure, AB || CD and $\text{EF}\perp\text{AB}.$ If EG is the transversal such that $\angle\text{GED}=130^\circ,$ find $\angle\text{EGF}.$
→Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.
Find the following products:$\Big(\frac{\text{x}}{2}+2\text{y}\Big)\Big(\frac{\text{x}^2}{4}-\text{xy}+4\text{y}^2\Big)$
→