The equivalent expression is (3⁴/7³)³ = 3¹²/7⁹
Define Power Rule for Exponents
The Power Rule for Exponents: (aⁿ)ˣ= aⁿ*ˣ .
To raise a number with an exponent to a power, multiply the exponent times the power.
Negative Exponent Rule: x⁻ⁿ = 1/xⁿ.
Given expression is,
(3⁴/7³)³
We need to find equivalent expression,
⇒ (3⁴/7³)³
first, split up exponent 3 to both Numerator and denominator as ,
⇒ (3⁴)³ / (7³)³
Now, power of a power can be done as product as,
⇒ 3¹² / 7⁹
Hence,the equivalent expression is (3⁴/7³)³ = 3¹²/7⁹
To read more about Exponents.
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