x-a - nbsp- y-a - -xy-a-a-xy-a-x-y-a-x-y-a-a

The correct option is B (xy)^aFor any non zero integers x and y, x^a × nbsp; y^a =(xy)^a, where 'a' is any integer. For example, 10^ 2× nbsp; 3^ 2 =(10× 3) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Powers with Unlike Bases and Same Exponent

x^a × nbsp;...

Question

$x^{a} \times y^{a} =$ _____

(x y)^{a + a}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x y)^{a}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(x + y)^{a}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x + y)^{a + a}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(x y)^{a}$
For any non-zero integers x and y,
$x^{a} \times y^{a} = (x y)^{a}$ ,
where 'a' is any integer.
For example,
$10^{- 2} \times 3^{- 2} = (10 \times 3)^{- 2} = 30^{- 2}$

Suggest Corrections

Similar questions

x^{a} \times y^{a} =

_____

Q. The equation of a line touching the curve

y = {be}^{- \frac{x}{a}}

at a point where it crosses the y-axis is .

Q.

x^{a} \times y^{a} =

_____

If x, y and z are positive real numbers such that x+y+z=a then

Q. Factorize each of the following expressions:

x a^{2} + x b^{2} - y a^{2} - y b^{2}

Join BYJU'S Learning Program

xa×ya= _____

The correct option is B (xy)aFor any non-zero integers x and y, xa×ya=(xy)a, where 'a' is any integer. For example, 10−2×3−2=(10×3)−2=30−2

$x^{a} \times y^{a} =$ _____

The correct option is B $(x y)^{a}$
For any non-zero integers x and y,
$x^{a} \times y^{a} = (x y)^{a}$ ,
where 'a' is any integer.
For example,
$10^{- 2} \times 3^{- 2} = (10 \times 3)^{- 2} = 30^{- 2}$