Answer:
D
Step-by-step explanation:
using the law of exponents
[tex](ab)^{n}[/tex] = [tex]a^{n}[/tex] × [tex]b^{n}[/tex], hence
[tex](7.2)^{7}[/tex] = [tex]7^{7}[/tex] × [tex]2^{7}[/tex] → D
The equivalent expression is [tex]7^7\cdot 2^7[/tex], so the correct option is D.
Given:
The expression is:
[tex](7\times 2)^7[/tex]
To find:
The equivalent expression.
Explanation:
Power of a product property of exponents: If [tex]a,b,x[/tex] are three real numbers, then
[tex](ab)^x=a^xb^x[/tex]
We have,
[tex](7\times 2)^7[/tex]
Using the power of a product property of exponents, we get
[tex](7\times 2)^7=7^7\cdot 2^7[/tex]
Therefore, the correct option is D.
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