1 Express each of the following in index form.
a $3 \times 3 \times 3 \times 3$
b $2 \times x \times x \times x \times y \times y$
c $3 \times a \times a \times a \times \frac{b}{a} \times b$
d $\frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \times \frac{1}{7} \times \frac{1}{7}$
2. Write the following as a product of prime factors in index form.
a 45
b -300

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Final Answer: The expression $3 \times 3 \times 3 \times 3$ in index form is $3^{4}$ .

Steps

Step 1 ：The question is asking to express the given expressions in index form. Index form is a way of writing numbers using exponents. For example, $2 \times 2 \times 2$ can be written in index form as $2^{3}$ .

Step 2 ：For the first question, we have $3 \times 3 \times 3 \times 3$ . This can be written in index form as $3^{4}$ .

Step 3 ：Here, the base is 3 and the exponent is 4, so the index form is $3^{4}$ .

Step 4 ：Final Answer: The expression $3 \times 3 \times 3 \times 3$ in index form is $3^{4}$ .

1 Express each of the following in index form.a 3×3×3×3b 2×x×x×x×y×yc 3×a×a×a×ba×bd 35×35×35×17×172. Write the following as a product of prime factors in index form.a 45b -300

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