- Exponent is a quantity which represents the power to which a given number or expression is to be raised.
Powers with negative exponents
Laws of Exponents
Practice these questions
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 |
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