State whether true or false 25-45-245

The correct option is B FalseWe know that a^m × b^m = (a × b)^m Using this law, we get a = 2, b = 4 and m= 5 ⇒ a × b = 8 (2)^5 ×(4)^5 = (8)^5 Hence, the gi ...

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Byju's Answer

Standard VIII

Mathematics

Exponents with Unlike Bases and Same Exponent

State whether...

Question

State whether true or false
${(2)}^{5} \times {(4)}^{5} = {(24)}^{5}$ .

True

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False

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Solution

The correct option is B False
We know that $a^{m} \times b^{m} = {(a \times b)}^{m}$

Using this law, we get

$a = 2, b = 4 a n d m = 5 \Rightarrow a \times b = 8$

${(2)}^{5} \times {(4)}^{5} = {(8)}^{5}$

Hence, the given statement is false.

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Similar questions

Q. If

A = ∣ ∣ ∣ ∣ \begin{matrix} \begin{matrix} - 2 4 \end{matrix} 5 \end{matrix} ∣ ∣ ∣ ∣, B = | \begin{matrix} \begin{matrix} 1 & 3 & - 6 \end{matrix} \end{matrix} |

, State whether ist is true or false

{(A B)}^{1} = B^{1} A^{1}

Question 45

State whether the given statements are true or false
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45^{\circ} - 45^{\circ}

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Q. Question 45
State whether the statements are True or False.
Mean can never be a fraction.

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State whether true or false (2)5×(4)5=(24)5.

The correct option is B FalseWe know that am×bm=(a×b)m Using this law, we get a=2,b=4 and m=5⇒a×b=8 (2)5×(4)5=(8)5 Hence, the given statement is false.

State whether true or false
${(2)}^{5} \times {(4)}^{5} = {(24)}^{5}$ .

The correct option is B False
We know that $a^{m} \times b^{m} = {(a \times b)}^{m}$

Using this law, we get

$a = 2, b = 4 a n d m = 5 \Rightarrow a \times b = 8$

${(2)}^{5} \times {(4)}^{5} = {(8)}^{5}$

Hence, the given statement is false.