Question

(2/5)⁶÷(2/5)⁴ give it answer​

Answer 1

Answer:

(2\5)6-4=(2\5)2= 2\5×2\5=2\5

Answer 2

Step-by-step explanation:

$⟹ (\frac{2}{5} ) {}^{6} \div ( \frac{2}{5}) {}^{4}$

$⟹( \frac{2}{5} ) {}^{6 - 4}$

$⟹( \frac{2}{5} ) {}^{2} \: \: ans..$

More Info:

Rules of exponents

1. When the bases are same and the powers are different in multiplication then we add the powers. And in the case of division we we subtract the powers like we did for the question.

Example:

For multiplication..

$⟹ {8}^{2} \times {8}^{6}$

$⟹ {8}^{(2 + 6)}$

$⟹ {8}^{8} \: ans..$

Example:

For division...

$⟹ 15 {}^{15} \div {15}^{10}$

$⟹ {15}^{(15 - 10)}$

$⟹ {15}^{5}$

2. Anything raise to power 0 = 1 only

Example:

$⟹ 12 {}^{3} \div {12}^{3}$

$⟹ {12}^{(3 - 3)}$

$⟹ {12}^{0}$

$⟹ 1 \: ans..$

3. When their are 2 exponents one inside the bracket and 1 outside it we multiply it.

Example:

$⟹ ( {3}^{3} ) {}^{3}$

$⟹ {3}^{3 \times 3}$

$⟹ {3}^{9} \: \: ans..$

4. When the exponents are same and the bases are different we multiply them.

Example:

$⟹ {3}^{4} \times {5}^{4}$

$⟹ (3 \times 5) {}^{4}$

$⟹ {15}^{4} \: \: ans..$

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$(ab) {}^{m} = {a}^{m} {b}^{m}$

5. Anything whole raise to power in bracket has same exponents. To understand let's see the example-

$⟹ ( \frac{2}{7} ) {}^{3} = \frac{ {2}^{3} }{ {7}^{3} }$

6. When the power is negetive then it becomes reciprocal.

Example:

$⟹ {a}^{ - m} = \frac{1}{ {a}^{m} }$

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$⟹ {3}^{ - 9} = \frac{1}{ {3}^{9} }$

Hope it helps you!!