Question

Apply Laws of Exponents to write an equivalent expression. (3y)-4. (2z)-4

Answer 1

After Applying Laws of Exponents we can write as $(6yz)^{-4}$

What is law of exponents ?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

How are powers of powers multiplied?

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

$a^{n}$ .$b^{n}$ =$(a.b)^{n}$

=$3y^{-4}$ . $2z^{-4}$

=$3y^{-4}$ . $2z^{-4}$

= $(6yz)^{-4}$

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