Question

Write any two laws of exponents

Answer 1

In case of multiplication, if the base is the same and the powers are different, we simply put the common base while adding the powers. Lets take an example:
5² × 5³ = 5^5 (i.e. 5 to the power of 5; this can be also shows as $5^{3+2}$ ]

In case of division, if the base is the same and the powers are different, we simply put the common base while subtracting the powers. Lets take an example:
5³ ÷ 5² = 5 (i.e. 5 to the power of 1. We can also represent this as $5^{3-2}$)   ]

Answer 2

Answer:

$x^{1} = x$

$x^{0} = 1$

$x^{-1} = 1/x$

$x^{m} x^{n} = x^{m+n}$

$x^{m} /x^{n} = x^{m-n}$

$(x^{m})^{n} = x^{mn}$

$(xy)^{n} = x^{n} y^{n}$

$(x/y)^{n} = x^{n} /y^{n}$

$x^{-n} = 1/x^{n}$

$x^{m/n} = \sqrt[n]{x^{m} } = (\sqrt[n]{x})^{m}$

(chose any 2 )

Step-by-step explanation: