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Simplify x⁵ * x³ / x².

October 21, 2026Mathematics

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: Percentage Calculation
The problem asks to calculate the percentage change.

\frac{(4000 - 3605)}{3605} \times 100\%

Calculate the difference in the numerator.
$4000 - 3605 = 395$
Substitute the difference into the expression.
$\frac{395}{3605} \times 100\%$
Perform the division and multiply by 100.
$\frac{395}{3605} \approx 0.10957$ $0.10957 \times 100\% \approx 10.957\%$
Rounding to two decimal places:
$\approx \boxed{10.96\%}$
: Simplify $x^5 \times x^3 \div x^2$
This problem involves simplifying an expression with exponents.
Apply the rule for multiplying exponents with the same base ( $a^m \times a^n = a^{m+n}$ ).
$x^5 \times x^3 = x^{(5+3)} = x^8$
Apply the rule for dividing exponents with the same base ( $a^m \div a^n = a^{m-n}$ ).
$x^8 \div x^2 = x^{(8-2)} = x^6$
The simplified expression is:
$\boxed{x^6}$

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