CameraIcon

SearchIcon

MyQuestionIcon

1

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

Exponents with Like Bases

If a= b2x, ...

Question

If $a = b^{2 x}, b = c^{2 y}$ & $c = a^{2 z}$ , prove that xyz= $\frac{1}{8}$

Open in App

Solution

$a = b^{2 x} a = (c^{2 y})^{2 x} o r a = c^{4 x y} o r a = (a^{2 z})^{4 x y} o r a = a^{8 x y z} ∴ 8 x y z = 1 ∴ x y z = (\frac{1}{8})$

Suggest Corrections

thumbs-up

2

Similar questions

a = b^{2 x}

b = c^{2 y}

c = a^{2 z}

x y z =

If a=b^2x, b=c^2y & c=a^2z, then xyz is equal to

a = b^{2 x}, b = c^{2 y}

c = a^{2 z}

8 x y z = 1

.

a = b^{2 x}

b = c^{2 y}

c = a^{2 x}

, then the value of xyz is

x y = a^{2}

S = b^{2} x + c^{2} y

where a,b and c are constants then the minimum value of S is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Laws of Exponents

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Exponents with Like Bases

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon