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प्रश्न
(–4)–4 × (4)–1 = (4)5
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
LHS = (–4)–4 × (4)–1
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
∴ (–4)–4 × (4)–1 = (4)–4 × (4)–1
= (4)–4 – 1
= (4)–5
LHS ≠ RHS
APPEARS IN
संबंधित प्रश्न
(–5)–2 × (–5)–3 = (–5)–6
(–7)–4 × (–7)2 = (–7)–2
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.

- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
Where will the insect be after n hops?
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
Supply the missing information for diagram.

Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
