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

Mathematics

1 answer:

Stels [109]1 year ago

4 0

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

<h3>What is law of exponents ?</h3>

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.

<h3>How are powers of powers multiplied?</h3>

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

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

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

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

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3 years ago

The function f(x) = x2 + 10x - 3 writers in vertex form is f(x) = (x + 5)2 - 28. What are the coordinates of the vertex?

andrey2020 [161]

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3 years ago