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Vitek1552 [10]
3 years ago
5

Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

(a) 4^7

(b) 7^6

(c) \dfrac{1}{16}

(d) 3^{4}

Step-by-step explanation:

We need to simplify the given expressions.

(a)

Consider the given expression is

(4^5)(4^2)

Using the property of exponent, we get

=4^{5+2}            [\because a^ma^n=a^{m+n}]

=4^7

(b)

Consider the given expression is

(7^2)^3

Using the property of exponent, we get

=7^{2\times 3}            [\because (a^m)^n=a^{mn}]

=7^6

(c)

Consider the given expression is

2^{-4}

Using the property of exponent, we get

=\dfrac{1}{2^{4}}            [\because a^{-n}=\dfrac{1}{a^n}]

=\dfrac{1}{16}

(d)

Consider the given expression is

\dfrac{3^8}{3^4}

Using the property of exponent, we get

=3^{8-4}            [\because \dfrac{a^m}{a^n}=a^{m-n}]

=3^{4}

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