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The expression (222) (27)3 is equivalent to . What is the value of p?

The Expression 222 273 Is Equivalent To What Is The Value Of P class=

Answer :

Let us revise the rules of exponents

[tex]a^n\times a^m=a^{n+m}[/tex][tex](a^n)^m=a^{nm}[/tex]

We will use these 2 rules to solve the question

[tex](x^{22})(x^7)^3=(x^{22})(x^{7\times3})[/tex]

Multiply 7 by 3, then add to the answer 22

[tex](x^{22})(x^{21})=x^{22+21}=x^{43}[/tex]

Now equate it by x^p

[tex]x^p=x^{43}[/tex]

Then p = 43

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