Answered

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Simplify:

(i) [tex]x^{-7} \times y^{77}[/tex]

Sagot :

GinnyAnswer
To simplify the given expression \( x^{-7} \times y^{77} \):

1. Understand the properties of exponents:
- The negative exponent rule states that \( a^{-n} = \frac{1}{a^n} \).

2. Apply the negative exponent rule to the term \( x^{-7} \):
- \( x^{-7} = \frac{1}{x^7} \).

3. Now rewrite the given expression using this rule:
- \( x^{-7} \times y^{77} = \frac{1}{x^7} \times y^{77} \).

4. Combining the terms in a single fraction, the expression becomes:
- \( \frac{y^{77}}{x^7} \).

Therefore, the simplified form of the expression \( x^{-7} \times y^{77} \) is:
[tex]\[ \boxed{\frac{y^{77}}{x^7}} \][/tex]
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