The correct option is A 10.5Here, 64^3.1× 8^4.3=8^? By applying the rule of indices, we get (8^2)^31× (8)^4.3=8^? 8^7 = 8^6.2+4.3 =8^10.5 ⇒ ? =10.5 ...

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Quantitative Aptitude

Equations

643.1× 84.3=8...

Question

$64^{3.1} \times 8^{4.3} = 8^{?}$

10.5

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Solution

The correct option is A 10.5
Here, $64^{3.1} \times 8^{4.3} = 8^{?}$
By applying the rule of indices, we get
$(8^{2})^{31} \times (8)^{4.3} = 8^{?} 8^{7} = 8^{6.2 + 4.3} = 8^{10.5} \Rightarrow ? = 10.5$

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643.1×84.3=8?

The correct option is A 10.5Here, 643.1×84.3=8? By applying the rule of indices, we get (82)31×(8)4.3=8?87=86.2+4.3=810.5⇒?=10.5

$64^{3.1} \times 8^{4.3} = 8^{?}$

The correct option is A 10.5
Here, $64^{3.1} \times 8^{4.3} = 8^{?}$
By applying the rule of indices, we get
$(8^{2})^{31} \times (8)^{4.3} = 8^{?} 8^{7} = 8^{6.2 + 4.3} = 8^{10.5} \Rightarrow ? = 10.5$