MCQ
SImplify: $(256)^{0.16}\times(256)^{0.09}$
- ✓$4$
- B$16$
- C$64$
- D$256.25$
✓
Answer
Correct option: A.
$4$
$(256)^{0.16}\times(256)^{0.09}$
$=(256)^{(0.16+0.09)}$
$=(256)^{0.25}=(256)^{\frac{25}{100}}=(256)^{\frac{1}{4}}$
$=(4^4)^{\frac{1}{4}}=4^1=4$
$=(256)^{(0.16+0.09)}$
$=(256)^{0.25}=(256)^{\frac{25}{100}}=(256)^{\frac{1}{4}}$
$=(4^4)^{\frac{1}{4}}=4^1=4$
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
The price of petrol has risen from $₹ 48$ to $₹ 52$ a litre. By what per cent has the price risen up?
→Mark $(\checkmark)$ against the correct answer in the following: $78\frac{3}{4}\div2\frac{1}{2}=?$
→Mark $(\checkmark)$ against the correct answer in the following: $1\div\frac{1}{2}=?$
→In Fig. if AB || DE then the value of x is
Study the following statements. Statement $- 1:$ Rational numbers are always closed under division. Statement $- 2:$ Division by zero is not defined. Which of the following options hold$?$
→The sum of two integers is $10$. If one of them is negative, then the other has to be:
→6a equals
If $x\%$ of $2000 = 600$, then $x =$
→When a dice is thrown, the total number of possible outcomes is:
In Fig. if $A B \| C D$ the value of x is
→