Simplify the Expression: x⁴·x³/x⁵·x² Using Exponent Rules

Question

Solve the exercise:

x4x3x5x2 \frac{x^4\cdot x^3}{x^5\cdot x^2}

Step-by-Step Solution

First, simplify the numerator and the denominator separately:
Numerator: X4X3=X4+3=X7 X^4 \cdot X^3 = X^{4+3} = X^7
Denominator: X5X2=X5+2=X7 X^5 \cdot X^2 = X^{5+2} = X^7

Now, combine the simplified numerator and denominator:

X7X7 \frac{X^7}{X^7}

Since any number divided by itself is 1, we have:

X7X7=1 \frac{X^7}{X^7} = 1

Therefore, the correct answer is:

1 1

Answer

1 1