Question

Explain All the 5 Laws of Indices ☺♥️ !​

Answer 1

Answer:

1) The first law: multiplication

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

2) The second law: division

If the two terms have the same base (in this case x) and are to be divided their indices are subtracted.

3) The third law: brackets

If a term with a power is itself raised to a power then the powers are multiplied together.

4) Negative powers

Consider this example: \dfrac{a^2}{a^6} = a^{2-6} = a^{-4}

Also we can show that: \dfrac{a^2}{a^6} = \dfrac{1}{a^4}

So a negative power can be written as a fraction.

5) Power of zero

The second law of indices helps to explain why anything to the power of zero is equal to one.

We know that anything divided by itself is equal to one. So \dfrac {x^3}{x^3} = 1

Also we know that \dfrac {x^3}{x^3} = x^{3-3} = x^0 = 1

Therefore, we have shown that \dfrac {x^3}{x^3} = x^0 = 1

Step-by-step explanation:

hope it helps....

Answer 2

Answer:

Laws of indices-

↪The first law: ᴍᴜʟᴛɪᴘʟɪᴄᴀᴛɪᴏɴ (If the two terms have the same base.)

↪The second law: ᴅɪᴠɪsɪᴏɴ (If the two terms have the same base.)

↪The third law: ʙʀᴀᴄᴋᴇᴛs (If a term with a power is itself raised to a power then the powers are multiplied together.)

Negative powers.

Power of zero.

Fractional powers.

ᴛʜᴀɴᴋ ʏᴀ! ☺♥️