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# Exponents and Powers

• Exponent is a quantity which represents the power to which a given number or expression is to be raised.

# Practice these questions

## Quiz for Exponents and Powers

 Q.1 Express the following numbers as a product of powers of prime factors: 81 a) 32 b) 34 c) 43 d) 33
 Q.2 Express the following numbers as a product of powers of prime factors: 625 a) 55 b) 53 c) 45 d) 54
 Q.3 Express the following numbers as a product of powers of prime factors: 5625 a) 32 X 54 b) 33 X 54 c) 32 X 53 d) 3 X 52
 Q.4 Express the following numbers as a product of powers of prime factors: 5184 a) 33 X 26 b) 33 X 54 c) 62 X 53 d) 26 X 34
 Q.5 Express the following numbers as a product of powers of prime factors: 7128 a) 33 X 25 b) 23 X 34 X 11 c) 2 X 33 X 54 d) 62 X 53
 Q.6 Write the following numbers in the expanded forms: 7300987 a) 7×10'6' + 3×10'5' + 9×10'4' + 8×10'3' + 7×10'1' b) 7×10'6' + 3×10'5' + 0×10'4' + 0×10'3' + 9×10'2' + 8×10'1' c) 7×10'6' + 3×10'5' + 0×10'4' + 0×10'3' + 9×10'2' + 8×10'1' + 7×10'0' d) 7×10'6' + 0×10'4' + 0×10'3' + 9×10'2' + 8×10'1' + 7×10'0'
 Q.7 Write the following numbers in the expanded forms: 746023 a) 7×105 + 4×104 + 6×103 + 2×102 + 3×101 b) 7×105 + 4×104 + 6×103 + 0×102 + 2×101 + 3×100 c) 7×106 + 4×105 + 6×103 + 0×102 + 2×101 + 3×100 d) 7×106 + 4×104 + 6×103 + 0×102 + 2×101 + 3×100
 Q.8 Write the following numbers in the expanded forms: 300025 a) 3×105 + 2×104 + 5×103 b) 3×105 + 2×102 + 5×100 c) 3×104 + 0×103 + 0×102 + 2×101 + 5×100 d) 3×105 + 0×104 + 0×103 + 0×102 + 2×101 + 5×100
 Q.9 Write the following numbers in the expanded forms: 463478 a) 4×105 + 6×104 + 3×103 + 4×102 + 7×101 b) 4×105 + 6×104 + 3×103 + 4×102 + 7×101 + 8×100 c) 4×105 + 6×104 + 3×103 + 4×102 d) 4×106 + 6×104 + 7×103 + 0×102 + 7×101 + 8×100
 Q.10 Write the following numbers in the expanded forms: 5980134 a) 5×106 + 9×105 + 8×104 + 0×103 + 1×102 + 3×101 + 4×100 b) 5×106 + 9×105 + 8×104 + 1×103 + 4×102 + 8×101 c) 5×105 + 9×104 + 8×103 + 1×102 + 3×101 + 4×100 d) 5×106 + 9×105 + 0×104 + 0×103 + 1×102 + 3×101 + 4×100