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astra-53 [7]
3 years ago
13

HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0

Answer:

1

Step-by-step explanation:

So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.

Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,

Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.

Let me know if you have any questions

boyakko [2]3 years ago
3 0

Answer:

Solving the expression: \frac{(x^5)^2}{(x^7)(x^3)} the answer is 1

Step-by-step explanation:

We need to solve the expression: \frac{(x^5)^2}{(x^7)(x^3)}

We know that exponent rule: (a^m)^n=a^{m*n}

Applying this rule in numerator

\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}

We know the exponent rule: (a^m).(a^n)=a^{m+n}

=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}

Now, using the exponent rule: \frac{a^m}{a^n}=a^{m-n}

=x^{10-10}\\=x^0

We know that a^0=1

So, x^0=1

Solving the expression: \frac{(x^5)^2}{(x^7)(x^3)} the answer is 1

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