Question 1 of 28beginner🔧 ApplyShort Answer3 marks

Express the following in exponential form: (i) 6×6×6×66 \times 6 \times 6 \times 6 (ii) y×yy \times y (iii) b×b×b×bb \times b \times b \times b (iv) 5×5×7×7×75 \times 5 \times 7 \times 7 \times 7 (v) 2×2×a×a2 \times 2 \times a \times a (vi) a×a×a×c×c×c×c×da \times a \times a \times c \times c \times c \times c \times d

(i)
Answer

646^4

(ii)
Answer

y2y^2

(iii)
Answer

b4b^4

(iv)
Answer

52×735^2 \times 7^3

(v)
Answer

22×a22^2 \times a^2

(vi)
Answer

a3×c4×da^3 \times c^4 \times d

Explanation

(i) 6 is multiplied by itself 4 times, so it equals 646^4. (ii) y is multiplied by itself 2 times, so it equals y2y^2. (iii) b is multiplied by itself 4 times, so it equals b4b^4. (iv) 5 appears 2 times and 7 appears 3 times, so it equals 52×735^2 \times 7^3. (v) 2 appears 2 times and a appears 2 times, so it equals 22×a22^2 \times a^2. (vi) a appears 3 times, c appears 4 times, and d appears once, so it equals a3×c4×da^3 \times c^4 \times d.

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