Introduction to exponents:
The exponent is usually shown as a superscript to the right of the base. The exponentiation an can be read as: a raised to the n-th power, a raised to the power [of] n, or possibly a raised to the exponent [of] n, or more briefly as a to the n. Some exponents have their own pronunciation: for example, a2 is usually read as a squared and a3 as a cubed.
(Source – Wikipedia.)
Properties of Exponents:
The following four properties are generally used in exponents. These properties are very helpful to crack problems in exponents.
- The first and foremost significant uniqueness fulfilled by integer exponentiation is
px+y= px . py
- This distinctiveness has the result
px-y = px /py
- for p ≠ 0, and
(px)y=px.y
- Another basic identity is (p. q)n = pn . qn
Examples Word Problems for Exponents:
Word problems exponents- Example 1:
Solve: (s4) (s3)
Solution:
Conditions of what those exponents indicate. "To the 4th" demonstrates multiplying four reproductions and "to the 3rd" demonstrates multiplying three reproductions. By the generalization method the factors are then multiplied.
(d4)(d3) = (d d d d) (d d d) [multiply the terms]
= d d d d d d d [simplify the terms]
= d7
= d d d d d d d [simplify the terms]
= d7
Answer is: d7
Word problems exponents- Example 2:
Solve: (n3) (n6)
Solution:
Conditions of what those exponents indicate. "To the 3rd" demonstrates multiplying three reproductions and "to the 6th" demonstrates multiplying six reproductions. By the generalization method the factors are then multiplied.
(n4)(n5) = (n n n n) (n n n n n) [multiply the terms]
= n n n n n n n n n [simplify the terms]
= n9
Answer is: n9
Word problems exponents- Example 3:
Solve: (st)4/s3
Solution:
Conditions of what those exponents indicate. "To the 4th" demonstrates multiplying four reproductions and "to the 3rd" demonstrates multiplying three reproductions. By the generalization method the factors are then multiplied.
(st)4 / s3= t4 s4-3 [simplify the terms]
=t4s1
Answer is: t4s1
Word problems exponents- Example 4:
Shorten the following Zero exponents using the quotient rule:
73/ 73
Solution:
Given 73/ 73
= 74×7-4 [multiply the terms]
= 70 [add the exponents]
= 1
Answer is: 1
Practice word Problems for exponents:
- Solve : (s4) ( st3)
Answer: s5 t3
- Solve :(a3b3c4) (ab) (a2 b c3)
Answer: a6 b5 c7
- Simplify: (t3)4
Answer: t7
- Solve: (a . b)6
Answer: a6.b6
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